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Finding the Third Proportional to 1,081,208 and 1,658,446

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Solution

The third proportional to 1,081,208 and 1,658,446 is: 2,543,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,208 : 1,658,446 = 1,658,446 : x
  2. Step 2: Convert to fraction form
    1,081,208/1,658,446 = 1,658,446/x
  3. Step 3: Cross multiply
    1,081,208x = 1,658,446 × 1,658,446
  4. Step 4: Simplify right side
    1,081,208x = 2,750,443,134,916
  5. Step 5: Solve for x
    x = 2,750,443,134,916/1,081,208
  6. Step 6: Final answer
    x = 2,543,861.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.