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Finding the Third Proportional to 745,262.96 and 1,632,468.42

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Solution

The third proportional to 745,262.96 and 1,632,468.42 is: 3,575,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,262.96 : 1,632,468.42 = 1,632,468.42 : x
  2. Step 2: Convert to fraction form
    745,262.96/1,632,468.42 = 1,632,468.42/x
  3. Step 3: Cross multiply
    745,262.96x = 1,632,468.42 × 1,632,468.42
  4. Step 4: Simplify right side
    745,262.96x = 2,664,953,153,201.53
  5. Step 5: Solve for x
    x = 2,664,953,153,201.53/745,262.96
  6. Step 6: Final answer
    x = 3,575,856.15

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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.