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Finding the Third Proportional to 1,019,574,624.75 and 1,574,401,652.25

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Solution

The third proportional to 1,019,574,624.75 and 1,574,401,652.25 is: 2,431,151,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,624.75 : 1,574,401,652.25 = 1,574,401,652.25 : x
  2. Step 2: Convert to fraction form
    1,019,574,624.75/1,574,401,652.25 = 1,574,401,652.25/x
  3. Step 3: Cross multiply
    1,019,574,624.75x = 1,574,401,652.25 × 1,574,401,652.25
  4. Step 4: Simplify right side
    1,019,574,624.75x = 2,478,740,562,607,529,984
  5. Step 5: Solve for x
    x = 2,478,740,562,607,529,984/1,019,574,624.75
  6. Step 6: Final answer
    x = 2,431,151,680.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.