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Finding the Third Proportional to 727,363.13 and 1,580,743.69

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Solution

The third proportional to 727,363.13 and 1,580,743.69 is: 3,435,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,363.13 : 1,580,743.69 = 1,580,743.69 : x
  2. Step 2: Convert to fraction form
    727,363.13/1,580,743.69 = 1,580,743.69/x
  3. Step 3: Cross multiply
    727,363.13x = 1,580,743.69 × 1,580,743.69
  4. Step 4: Simplify right side
    727,363.13x = 2,498,750,605,571.10
  5. Step 5: Solve for x
    x = 2,498,750,605,571.10/727,363.13
  6. Step 6: Final answer
    x = 3,435,355.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.