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Finding the Third Proportional to 644,500,822 and 985,248,910

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Solution

The third proportional to 644,500,822 and 985,248,910 is: 1,506,150,778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,500,822 : 985,248,910 = 985,248,910 : x
  2. Step 2: Convert to fraction form
    644,500,822/985,248,910 = 985,248,910/x
  3. Step 3: Cross multiply
    644,500,822x = 985,248,910 × 985,248,910
  4. Step 4: Simplify right side
    644,500,822x = 970,715,414,656,188,160
  5. Step 5: Solve for x
    x = 970,715,414,656,188,160/644,500,822
  6. Step 6: Final answer
    x = 1,506,150,778.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.