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Finding the Third Proportional to 675,874.13 and 1,046,171.95

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Solution

The third proportional to 675,874.13 and 1,046,171.95 is: 1,619,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,874.13 : 1,046,171.95 = 1,046,171.95 : x
  2. Step 2: Convert to fraction form
    675,874.13/1,046,171.95 = 1,046,171.95/x
  3. Step 3: Cross multiply
    675,874.13x = 1,046,171.95 × 1,046,171.95
  4. Step 4: Simplify right side
    675,874.13x = 1,094,475,755,505.38
  5. Step 5: Solve for x
    x = 1,094,475,755,505.38/675,874.13
  6. Step 6: Final answer
    x = 1,619,348.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.