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Finding the Third Proportional to 610,115 and 927,612

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Solution

The third proportional to 610,115 and 927,612 is: 1,410,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,115 : 927,612 = 927,612 : x
  2. Step 2: Convert to fraction form
    610,115/927,612 = 927,612/x
  3. Step 3: Cross multiply
    610,115x = 927,612 × 927,612
  4. Step 4: Simplify right side
    610,115x = 860,464,022,544
  5. Step 5: Solve for x
    x = 860,464,022,544/610,115
  6. Step 6: Final answer
    x = 1,410,330.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.