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Finding the Third Proportional to 999,446 and 1,581,211

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Solution

The third proportional to 999,446 and 1,581,211 is: 2,501,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,446 : 1,581,211 = 1,581,211 : x
  2. Step 2: Convert to fraction form
    999,446/1,581,211 = 1,581,211/x
  3. Step 3: Cross multiply
    999,446x = 1,581,211 × 1,581,211
  4. Step 4: Simplify right side
    999,446x = 2,500,228,226,521
  5. Step 5: Solve for x
    x = 2,500,228,226,521/999,446
  6. Step 6: Final answer
    x = 2,501,614.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.