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Finding the Third Proportional to 662,175.25 and 1,414,677.75

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Solution

The third proportional to 662,175.25 and 1,414,677.75 is: 3,022,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,175.25 : 1,414,677.75 = 1,414,677.75 : x
  2. Step 2: Convert to fraction form
    662,175.25/1,414,677.75 = 1,414,677.75/x
  3. Step 3: Cross multiply
    662,175.25x = 1,414,677.75 × 1,414,677.75
  4. Step 4: Simplify right side
    662,175.25x = 2,001,313,136,345.06
  5. Step 5: Solve for x
    x = 2,001,313,136,345.06/662,175.25
  6. Step 6: Final answer
    x = 3,022,331.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.