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Finding the Third Proportional to 574,029 and 1,251,396

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Solution

The third proportional to 574,029 and 1,251,396 is: 2,728,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,029 : 1,251,396 = 1,251,396 : x
  2. Step 2: Convert to fraction form
    574,029/1,251,396 = 1,251,396/x
  3. Step 3: Cross multiply
    574,029x = 1,251,396 × 1,251,396
  4. Step 4: Simplify right side
    574,029x = 1,565,991,948,816
  5. Step 5: Solve for x
    x = 1,565,991,948,816/574,029
  6. Step 6: Final answer
    x = 2,728,071.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.