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Finding the Third Proportional to 681,044 and 1,432,671

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Solution

The third proportional to 681,044 and 1,432,671 is: 3,013,823.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,044 : 1,432,671 = 1,432,671 : x
  2. Step 2: Convert to fraction form
    681,044/1,432,671 = 1,432,671/x
  3. Step 3: Cross multiply
    681,044x = 1,432,671 × 1,432,671
  4. Step 4: Simplify right side
    681,044x = 2,052,546,194,241
  5. Step 5: Solve for x
    x = 2,052,546,194,241/681,044
  6. Step 6: Final answer
    x = 3,013,823.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.