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Finding the Third Proportional to 5,751,394 and 9,021,459

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Solution

The third proportional to 5,751,394 and 9,021,459 is: 14,150,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751,394 : 9,021,459 = 9,021,459 : x
  2. Step 2: Convert to fraction form
    5,751,394/9,021,459 = 9,021,459/x
  3. Step 3: Cross multiply
    5,751,394x = 9,021,459 × 9,021,459
  4. Step 4: Simplify right side
    5,751,394x = 81,386,722,488,681
  5. Step 5: Solve for x
    x = 81,386,722,488,681/5,751,394
  6. Step 6: Final answer
    x = 14,150,781.96

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.