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Finding the Third Proportional to 745,149.38 and 1,658,925

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Solution

The third proportional to 745,149.38 and 1,658,925 is: 3,693,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,149.38 : 1,658,925 = 1,658,925 : x
  2. Step 2: Convert to fraction form
    745,149.38/1,658,925 = 1,658,925/x
  3. Step 3: Cross multiply
    745,149.38x = 1,658,925 × 1,658,925
  4. Step 4: Simplify right side
    745,149.38x = 2,752,032,155,625
  5. Step 5: Solve for x
    x = 2,752,032,155,625/745,149.38
  6. Step 6: Final answer
    x = 3,693,262.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.