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Finding the Third Proportional to 694,705.14 and 1,084,073.90

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Solution

The third proportional to 694,705.14 and 1,084,073.90 is: 1,691,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,705.14 : 1,084,073.90 = 1,084,073.90 : x
  2. Step 2: Convert to fraction form
    694,705.14/1,084,073.90 = 1,084,073.90/x
  3. Step 3: Cross multiply
    694,705.14x = 1,084,073.90 × 1,084,073.90
  4. Step 4: Simplify right side
    694,705.14x = 1,175,216,224,684.21
  5. Step 5: Solve for x
    x = 1,175,216,224,684.21/694,705.14
  6. Step 6: Final answer
    x = 1,691,676.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.