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Finding the Third Proportional to 838,468.13 and 1,185,286.50

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Solution

The third proportional to 838,468.13 and 1,185,286.50 is: 1,675,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,468.13 : 1,185,286.50 = 1,185,286.50 : x
  2. Step 2: Convert to fraction form
    838,468.13/1,185,286.50 = 1,185,286.50/x
  3. Step 3: Cross multiply
    838,468.13x = 1,185,286.50 × 1,185,286.50
  4. Step 4: Simplify right side
    838,468.13x = 1,404,904,087,082.25
  5. Step 5: Solve for x
    x = 1,404,904,087,082.25/838,468.13
  6. Step 6: Final answer
    x = 1,675,560.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.