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Finding the Third Proportional to 1,965,765.38 and 4,204,774.13

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Solution

The third proportional to 1,965,765.38 and 4,204,774.13 is: 8,994,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,765.38 : 4,204,774.13 = 4,204,774.13 : x
  2. Step 2: Convert to fraction form
    1,965,765.38/4,204,774.13 = 4,204,774.13/x
  3. Step 3: Cross multiply
    1,965,765.38x = 4,204,774.13 × 4,204,774.13
  4. Step 4: Simplify right side
    1,965,765.38x = 17,680,125,442,269.52
  5. Step 5: Solve for x
    x = 17,680,125,442,269.52/1,965,765.38
  6. Step 6: Final answer
    x = 8,994,016.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.