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Finding the Third Proportional to 1,019,574,631.50 and 1,574,401,662

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Solution

The third proportional to 1,019,574,631.50 and 1,574,401,662 is: 2,431,151,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,574,631.50 : 1,574,401,662 = 1,574,401,662 : x
  2. Step 2: Convert to fraction form
    1,019,574,631.50/1,574,401,662 = 1,574,401,662/x
  3. Step 3: Cross multiply
    1,019,574,631.50x = 1,574,401,662 × 1,574,401,662
  4. Step 4: Simplify right side
    1,019,574,631.50x = 2,478,740,593,308,362,240
  5. Step 5: Solve for x
    x = 2,478,740,593,308,362,240/1,019,574,631.50
  6. Step 6: Final answer
    x = 2,431,151,694.76

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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.