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Finding the Third Proportional to 681,469 and 1,486,719

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Solution

The third proportional to 681,469 and 1,486,719 is: 3,243,483.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,469 : 1,486,719 = 1,486,719 : x
  2. Step 2: Convert to fraction form
    681,469/1,486,719 = 1,486,719/x
  3. Step 3: Cross multiply
    681,469x = 1,486,719 × 1,486,719
  4. Step 4: Simplify right side
    681,469x = 2,210,333,384,961
  5. Step 5: Solve for x
    x = 2,210,333,384,961/681,469
  6. Step 6: Final answer
    x = 3,243,483.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.