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Finding the Third Proportional to 615,192 and 865,932

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Solution

The third proportional to 615,192 and 865,932 is: 1,218,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,192 : 865,932 = 865,932 : x
  2. Step 2: Convert to fraction form
    615,192/865,932 = 865,932/x
  3. Step 3: Cross multiply
    615,192x = 865,932 × 865,932
  4. Step 4: Simplify right side
    615,192x = 749,838,228,624
  5. Step 5: Solve for x
    x = 749,838,228,624/615,192
  6. Step 6: Final answer
    x = 1,218,868.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.