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Finding the Third Proportional to 610,107 and 927,599

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Solution

The third proportional to 610,107 and 927,599 is: 1,410,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,107 : 927,599 = 927,599 : x
  2. Step 2: Convert to fraction form
    610,107/927,599 = 927,599/x
  3. Step 3: Cross multiply
    610,107x = 927,599 × 927,599
  4. Step 4: Simplify right side
    610,107x = 860,439,904,801
  5. Step 5: Solve for x
    x = 860,439,904,801/610,107
  6. Step 6: Final answer
    x = 1,410,309.84

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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.