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Finding the Third Proportional to 707,394.25 and 1,534,414.25

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Solution

The third proportional to 707,394.25 and 1,534,414.25 is: 3,328,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,394.25 : 1,534,414.25 = 1,534,414.25 : x
  2. Step 2: Convert to fraction form
    707,394.25/1,534,414.25 = 1,534,414.25/x
  3. Step 3: Cross multiply
    707,394.25x = 1,534,414.25 × 1,534,414.25
  4. Step 4: Simplify right side
    707,394.25x = 2,354,427,090,603.06
  5. Step 5: Solve for x
    x = 2,354,427,090,603.06/707,394.25
  6. Step 6: Final answer
    x = 3,328,309.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.