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Finding the Third Proportional to 615,764 and 922,725

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Solution

The third proportional to 615,764 and 922,725 is: 1,382,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,764 : 922,725 = 922,725 : x
  2. Step 2: Convert to fraction form
    615,764/922,725 = 922,725/x
  3. Step 3: Cross multiply
    615,764x = 922,725 × 922,725
  4. Step 4: Simplify right side
    615,764x = 851,421,425,625
  5. Step 5: Solve for x
    x = 851,421,425,625/615,764
  6. Step 6: Final answer
    x = 1,382,707.38

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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.