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Finding the Third Proportional to 517,218,313 and 775,070,880

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Solution

The third proportional to 517,218,313 and 775,070,880 is: 1,161,472,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,218,313 : 775,070,880 = 775,070,880 : x
  2. Step 2: Convert to fraction form
    517,218,313/775,070,880 = 775,070,880/x
  3. Step 3: Cross multiply
    517,218,313x = 775,070,880 × 775,070,880
  4. Step 4: Simplify right side
    517,218,313x = 600,734,869,023,974,400
  5. Step 5: Solve for x
    x = 600,734,869,023,974,400/517,218,313
  6. Step 6: Final answer
    x = 1,161,472,542.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.