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Finding the Third Proportional to 715,847.50 and 1,543,781

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Solution

The third proportional to 715,847.50 and 1,543,781 is: 3,329,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,847.50 : 1,543,781 = 1,543,781 : x
  2. Step 2: Convert to fraction form
    715,847.50/1,543,781 = 1,543,781/x
  3. Step 3: Cross multiply
    715,847.50x = 1,543,781 × 1,543,781
  4. Step 4: Simplify right side
    715,847.50x = 2,383,259,775,961
  5. Step 5: Solve for x
    x = 2,383,259,775,961/715,847.50
  6. Step 6: Final answer
    x = 3,329,284.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.