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Finding the Third Proportional to 641,228.03 and 1,187,849.35

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Solution

The third proportional to 641,228.03 and 1,187,849.35 is: 2,200,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,228.03 : 1,187,849.35 = 1,187,849.35 : x
  2. Step 2: Convert to fraction form
    641,228.03/1,187,849.35 = 1,187,849.35/x
  3. Step 3: Cross multiply
    641,228.03x = 1,187,849.35 × 1,187,849.35
  4. Step 4: Simplify right side
    641,228.03x = 1,410,986,073,017.10
  5. Step 5: Solve for x
    x = 1,410,986,073,017.10/641,228.03
  6. Step 6: Final answer
    x = 2,200,443.55

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.