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Finding the Third Proportional to 615,536 and 927,352

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Solution

The third proportional to 615,536 and 927,352 is: 1,397,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,536 : 927,352 = 927,352 : x
  2. Step 2: Convert to fraction form
    615,536/927,352 = 927,352/x
  3. Step 3: Cross multiply
    615,536x = 927,352 × 927,352
  4. Step 4: Simplify right side
    615,536x = 859,981,731,904
  5. Step 5: Solve for x
    x = 859,981,731,904/615,536
  6. Step 6: Final answer
    x = 1,397,126.62

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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.