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Finding the Third Proportional to 695,559.23 and 1,510,086.27

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Solution

The third proportional to 695,559.23 and 1,510,086.27 is: 3,278,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,559.23 : 1,510,086.27 = 1,510,086.27 : x
  2. Step 2: Convert to fraction form
    695,559.23/1,510,086.27 = 1,510,086.27/x
  3. Step 3: Cross multiply
    695,559.23x = 1,510,086.27 × 1,510,086.27
  4. Step 4: Simplify right side
    695,559.23x = 2,280,360,541,426.66
  5. Step 5: Solve for x
    x = 2,280,360,541,426.66/695,559.23
  6. Step 6: Final answer
    x = 3,278,456.28

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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.