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Finding the Third Proportional to 517,885,749 and 789,754,644

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Solution

The third proportional to 517,885,749 and 789,754,644 is: 1,204,343,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,885,749 : 789,754,644 = 789,754,644 : x
  2. Step 2: Convert to fraction form
    517,885,749/789,754,644 = 789,754,644/x
  3. Step 3: Cross multiply
    517,885,749x = 789,754,644 × 789,754,644
  4. Step 4: Simplify right side
    517,885,749x = 623,712,397,719,566,720
  5. Step 5: Solve for x
    x = 623,712,397,719,566,720/517,885,749
  6. Step 6: Final answer
    x = 1,204,343,620.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.