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Finding the Third Proportional to 694,165.50 and 1,048,645.13

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Solution

The third proportional to 694,165.50 and 1,048,645.13 is: 1,584,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,165.50 : 1,048,645.13 = 1,048,645.13 : x
  2. Step 2: Convert to fraction form
    694,165.50/1,048,645.13 = 1,048,645.13/x
  3. Step 3: Cross multiply
    694,165.50x = 1,048,645.13 × 1,048,645.13
  4. Step 4: Simplify right side
    694,165.50x = 1,099,656,598,186.27
  5. Step 5: Solve for x
    x = 1,099,656,598,186.27/694,165.50
  6. Step 6: Final answer
    x = 1,584,141.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.