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Finding the Third Proportional to 542,022 and 817,029

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Solution

The third proportional to 542,022 and 817,029 is: 1,231,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,022 : 817,029 = 817,029 : x
  2. Step 2: Convert to fraction form
    542,022/817,029 = 817,029/x
  3. Step 3: Cross multiply
    542,022x = 817,029 × 817,029
  4. Step 4: Simplify right side
    542,022x = 667,536,386,841
  5. Step 5: Solve for x
    x = 667,536,386,841/542,022
  6. Step 6: Final answer
    x = 1,231,566.96

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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.