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Finding the Third Proportional to 1,019,574,711.75 and 1,574,401,821

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Solution

The third proportional to 1,019,574,711.75 and 1,574,401,821 is: 2,431,151,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,711.75 : 1,574,401,821 = 1,574,401,821 : x
  2. Step 2: Convert to fraction form
    1,019,574,711.75/1,574,401,821 = 1,574,401,821/x
  3. Step 3: Cross multiply
    1,019,574,711.75x = 1,574,401,821 × 1,574,401,821
  4. Step 4: Simplify right side
    1,019,574,711.75x = 2,478,741,093,968,116,224
  5. Step 5: Solve for x
    x = 2,478,741,093,968,116,224/1,019,574,711.75
  6. Step 6: Final answer
    x = 2,431,151,994.46

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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.