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Finding the Third Proportional to 1,167,712 and 2,527,344

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Solution

The third proportional to 1,167,712 and 2,527,344 is: 5,470,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,712 : 2,527,344 = 2,527,344 : x
  2. Step 2: Convert to fraction form
    1,167,712/2,527,344 = 2,527,344/x
  3. Step 3: Cross multiply
    1,167,712x = 2,527,344 × 2,527,344
  4. Step 4: Simplify right side
    1,167,712x = 6,387,467,694,336
  5. Step 5: Solve for x
    x = 6,387,467,694,336/1,167,712
  6. Step 6: Final answer
    x = 5,470,071.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.