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Finding the Third Proportional to 826,639 and 1,252,414

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Solution

The third proportional to 826,639 and 1,252,414 is: 1,897,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,639 : 1,252,414 = 1,252,414 : x
  2. Step 2: Convert to fraction form
    826,639/1,252,414 = 1,252,414/x
  3. Step 3: Cross multiply
    826,639x = 1,252,414 × 1,252,414
  4. Step 4: Simplify right side
    826,639x = 1,568,540,827,396
  5. Step 5: Solve for x
    x = 1,568,540,827,396/826,639
  6. Step 6: Final answer
    x = 1,897,491.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.