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Finding the Third Proportional to 1,469,712 and 3,149,376

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Solution

The third proportional to 1,469,712 and 3,149,376 is: 6,748,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,712 : 3,149,376 = 3,149,376 : x
  2. Step 2: Convert to fraction form
    1,469,712/3,149,376 = 3,149,376/x
  3. Step 3: Cross multiply
    1,469,712x = 3,149,376 × 3,149,376
  4. Step 4: Simplify right side
    1,469,712x = 9,918,569,189,376
  5. Step 5: Solve for x
    x = 9,918,569,189,376/1,469,712
  6. Step 6: Final answer
    x = 6,748,648.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.