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Finding the Third Proportional to 999,174 and 1,523,637

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Solution

The third proportional to 999,174 and 1,523,637 is: 2,323,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,174 : 1,523,637 = 1,523,637 : x
  2. Step 2: Convert to fraction form
    999,174/1,523,637 = 1,523,637/x
  3. Step 3: Cross multiply
    999,174x = 1,523,637 × 1,523,637
  4. Step 4: Simplify right side
    999,174x = 2,321,469,707,769
  5. Step 5: Solve for x
    x = 2,321,469,707,769/999,174
  6. Step 6: Final answer
    x = 2,323,388.83

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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.