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Finding the Third Proportional to 658,458 and 1,442,741

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Solution

The third proportional to 658,458 and 1,442,741 is: 3,161,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,458 : 1,442,741 = 1,442,741 : x
  2. Step 2: Convert to fraction form
    658,458/1,442,741 = 1,442,741/x
  3. Step 3: Cross multiply
    658,458x = 1,442,741 × 1,442,741
  4. Step 4: Simplify right side
    658,458x = 2,081,501,593,081
  5. Step 5: Solve for x
    x = 2,081,501,593,081/658,458
  6. Step 6: Final answer
    x = 3,161,175.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.