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Finding the Third Proportional to 911,769.75 and 1,984,078.13

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Solution

The third proportional to 911,769.75 and 1,984,078.13 is: 4,317,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,769.75 : 1,984,078.13 = 1,984,078.13 : x
  2. Step 2: Convert to fraction form
    911,769.75/1,984,078.13 = 1,984,078.13/x
  3. Step 3: Cross multiply
    911,769.75x = 1,984,078.13 × 1,984,078.13
  4. Step 4: Simplify right side
    911,769.75x = 3,936,566,006,103.52
  5. Step 5: Solve for x
    x = 3,936,566,006,103.52/911,769.75
  6. Step 6: Final answer
    x = 4,317,500.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.