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Finding the Third Proportional to 4,031,769 and 6,242,661

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Solution

The third proportional to 4,031,769 and 6,242,661 is: 9,665,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031,769 : 6,242,661 = 6,242,661 : x
  2. Step 2: Convert to fraction form
    4,031,769/6,242,661 = 6,242,661/x
  3. Step 3: Cross multiply
    4,031,769x = 6,242,661 × 6,242,661
  4. Step 4: Simplify right side
    4,031,769x = 38,970,816,360,921
  5. Step 5: Solve for x
    x = 38,970,816,360,921/4,031,769
  6. Step 6: Final answer
    x = 9,665,934.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.