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Finding the Third Proportional to 542,020 and 817,026

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Solution

The third proportional to 542,020 and 817,026 is: 1,231,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,020 : 817,026 = 817,026 : x
  2. Step 2: Convert to fraction form
    542,020/817,026 = 817,026/x
  3. Step 3: Cross multiply
    542,020x = 817,026 × 817,026
  4. Step 4: Simplify right side
    542,020x = 667,531,484,676
  5. Step 5: Solve for x
    x = 667,531,484,676/542,020
  6. Step 6: Final answer
    x = 1,231,562.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.