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Finding the Third Proportional to 1,358,209.13 and 1,838,017.69

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Solution

The third proportional to 1,358,209.13 and 1,838,017.69 is: 2,487,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,209.13 : 1,838,017.69 = 1,838,017.69 : x
  2. Step 2: Convert to fraction form
    1,358,209.13/1,838,017.69 = 1,838,017.69/x
  3. Step 3: Cross multiply
    1,358,209.13x = 1,838,017.69 × 1,838,017.69
  4. Step 4: Simplify right side
    1,358,209.13x = 3,378,309,019,562.85
  5. Step 5: Solve for x
    x = 3,378,309,019,562.85/1,358,209.13
  6. Step 6: Final answer
    x = 2,487,326.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.