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Finding the Third Proportional to 834,342 and 1,825,494

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Solution

The third proportional to 834,342 and 1,825,494 is: 3,994,079.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,342 : 1,825,494 = 1,825,494 : x
  2. Step 2: Convert to fraction form
    834,342/1,825,494 = 1,825,494/x
  3. Step 3: Cross multiply
    834,342x = 1,825,494 × 1,825,494
  4. Step 4: Simplify right side
    834,342x = 3,332,428,344,036
  5. Step 5: Solve for x
    x = 3,332,428,344,036/834,342
  6. Step 6: Final answer
    x = 3,994,079.58

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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.