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Finding the Third Proportional to 615,586 and 927,435

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Solution

The third proportional to 615,586 and 927,435 is: 1,397,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,586 : 927,435 = 927,435 : x
  2. Step 2: Convert to fraction form
    615,586/927,435 = 927,435/x
  3. Step 3: Cross multiply
    615,586x = 927,435 × 927,435
  4. Step 4: Simplify right side
    615,586x = 860,135,679,225
  5. Step 5: Solve for x
    x = 860,135,679,225/615,586
  6. Step 6: Final answer
    x = 1,397,263.22

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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.