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Finding the Third Proportional to 544,370 and 817,098

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Solution

The third proportional to 544,370 and 817,098 is: 1,226,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,370 : 817,098 = 817,098 : x
  2. Step 2: Convert to fraction form
    544,370/817,098 = 817,098/x
  3. Step 3: Cross multiply
    544,370x = 817,098 × 817,098
  4. Step 4: Simplify right side
    544,370x = 667,649,141,604
  5. Step 5: Solve for x
    x = 667,649,141,604/544,370
  6. Step 6: Final answer
    x = 1,226,462.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.