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Finding the Third Proportional to 682,966.69 and 1,475,344.13

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Solution

The third proportional to 682,966.69 and 1,475,344.13 is: 3,187,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,966.69 : 1,475,344.13 = 1,475,344.13 : x
  2. Step 2: Convert to fraction form
    682,966.69/1,475,344.13 = 1,475,344.13/x
  3. Step 3: Cross multiply
    682,966.69x = 1,475,344.13 × 1,475,344.13
  4. Step 4: Simplify right side
    682,966.69x = 2,176,640,287,172.02
  5. Step 5: Solve for x
    x = 2,176,640,287,172.02/682,966.69
  6. Step 6: Final answer
    x = 3,187,037.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.