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Finding the Third Proportional to 872,407.97 and 1,309,534.59

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Solution

The third proportional to 872,407.97 and 1,309,534.59 is: 1,965,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,407.97 : 1,309,534.59 = 1,309,534.59 : x
  2. Step 2: Convert to fraction form
    872,407.97/1,309,534.59 = 1,309,534.59/x
  3. Step 3: Cross multiply
    872,407.97x = 1,309,534.59 × 1,309,534.59
  4. Step 4: Simplify right side
    872,407.97x = 1,714,880,852,227.98
  5. Step 5: Solve for x
    x = 1,714,880,852,227.98/872,407.97
  6. Step 6: Final answer
    x = 1,965,686.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.