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Finding the Third Proportional to 745,147.13 and 1,658,920.50

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Solution

The third proportional to 745,147.13 and 1,658,920.50 is: 3,693,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,147.13 : 1,658,920.50 = 1,658,920.50 : x
  2. Step 2: Convert to fraction form
    745,147.13/1,658,920.50 = 1,658,920.50/x
  3. Step 3: Cross multiply
    745,147.13x = 1,658,920.50 × 1,658,920.50
  4. Step 4: Simplify right side
    745,147.13x = 2,752,017,225,320.25
  5. Step 5: Solve for x
    x = 2,752,017,225,320.25/745,147.13
  6. Step 6: Final answer
    x = 3,693,253.50

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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.