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Finding the Third Proportional to 689,464,894 and 1,097,605,277

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Solution

The third proportional to 689,464,894 and 1,097,605,277 is: 1,747,351,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,464,894 : 1,097,605,277 = 1,097,605,277 : x
  2. Step 2: Convert to fraction form
    689,464,894/1,097,605,277 = 1,097,605,277/x
  3. Step 3: Cross multiply
    689,464,894x = 1,097,605,277 × 1,097,605,277
  4. Step 4: Simplify right side
    689,464,894x = 1,204,737,344,098,246,656
  5. Step 5: Solve for x
    x = 1,204,737,344,098,246,656/689,464,894
  6. Step 6: Final answer
    x = 1,747,351,249.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.