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Finding the Third Proportional to 834,344 and 1,825,498

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Solution

The third proportional to 834,344 and 1,825,498 is: 3,994,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,344 : 1,825,498 = 1,825,498 : x
  2. Step 2: Convert to fraction form
    834,344/1,825,498 = 1,825,498/x
  3. Step 3: Cross multiply
    834,344x = 1,825,498 × 1,825,498
  4. Step 4: Simplify right side
    834,344x = 3,332,442,948,004
  5. Step 5: Solve for x
    x = 3,332,442,948,004/834,344
  6. Step 6: Final answer
    x = 3,994,087.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.