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Finding the Third Proportional to 517,218,309 and 775,070,874

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Solution

The third proportional to 517,218,309 and 775,070,874 is: 1,161,472,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,218,309 : 775,070,874 = 775,070,874 : x
  2. Step 2: Convert to fraction form
    517,218,309/775,070,874 = 775,070,874/x
  3. Step 3: Cross multiply
    517,218,309x = 775,070,874 × 775,070,874
  4. Step 4: Simplify right side
    517,218,309x = 600,734,859,723,123,840
  5. Step 5: Solve for x
    x = 600,734,859,723,123,840/517,218,309
  6. Step 6: Final answer
    x = 1,161,472,533.49

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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.