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Finding the Third Proportional to 664,874 and 1,469,712

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Solution

The third proportional to 664,874 and 1,469,712 is: 3,248,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,874 : 1,469,712 = 1,469,712 : x
  2. Step 2: Convert to fraction form
    664,874/1,469,712 = 1,469,712/x
  3. Step 3: Cross multiply
    664,874x = 1,469,712 × 1,469,712
  4. Step 4: Simplify right side
    664,874x = 2,160,053,362,944
  5. Step 5: Solve for x
    x = 2,160,053,362,944/664,874
  6. Step 6: Final answer
    x = 3,248,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.