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Finding the Third Proportional to 758,359.69 and 1,610,214.19

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Solution

The third proportional to 758,359.69 and 1,610,214.19 is: 3,418,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,359.69 : 1,610,214.19 = 1,610,214.19 : x
  2. Step 2: Convert to fraction form
    758,359.69/1,610,214.19 = 1,610,214.19/x
  3. Step 3: Cross multiply
    758,359.69x = 1,610,214.19 × 1,610,214.19
  4. Step 4: Simplify right side
    758,359.69x = 2,592,789,729,626.29
  5. Step 5: Solve for x
    x = 2,592,789,729,626.29/758,359.69
  6. Step 6: Final answer
    x = 3,418,944.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.