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Finding the Third Proportional to 695,462.20 and 1,482,782.20

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Solution

The third proportional to 695,462.20 and 1,482,782.20 is: 3,161,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,462.20 : 1,482,782.20 = 1,482,782.20 : x
  2. Step 2: Convert to fraction form
    695,462.20/1,482,782.20 = 1,482,782.20/x
  3. Step 3: Cross multiply
    695,462.20x = 1,482,782.20 × 1,482,782.20
  4. Step 4: Simplify right side
    695,462.20x = 2,198,643,061,904.23
  5. Step 5: Solve for x
    x = 2,198,643,061,904.23/695,462.20
  6. Step 6: Final answer
    x = 3,161,412.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.