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Finding the Third Proportional to 1,705,005.70 and 3,693,799.69

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Solution

The third proportional to 1,705,005.70 and 3,693,799.69 is: 8,002,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,005.70 : 3,693,799.69 = 3,693,799.69 : x
  2. Step 2: Convert to fraction form
    1,705,005.70/3,693,799.69 = 3,693,799.69/x
  3. Step 3: Cross multiply
    1,705,005.70x = 3,693,799.69 × 3,693,799.69
  4. Step 4: Simplify right side
    1,705,005.70x = 13,644,156,131,375.10
  5. Step 5: Solve for x
    x = 13,644,156,131,375.10/1,705,005.70
  6. Step 6: Final answer
    x = 8,002,410.85

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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.