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Finding the Third Proportional to 1,543,308.19 and 2,380,321.69

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Solution

The third proportional to 1,543,308.19 and 2,380,321.69 is: 3,671,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,308.19 : 2,380,321.69 = 2,380,321.69 : x
  2. Step 2: Convert to fraction form
    1,543,308.19/2,380,321.69 = 2,380,321.69/x
  3. Step 3: Cross multiply
    1,543,308.19x = 2,380,321.69 × 2,380,321.69
  4. Step 4: Simplify right side
    1,543,308.19x = 5,665,931,335,982.85
  5. Step 5: Solve for x
    x = 5,665,931,335,982.85/1,543,308.19
  6. Step 6: Final answer
    x = 3,671,289.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.