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Finding the Third Proportional to 1,473,841.50 and 2,237,350.50

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Solution

The third proportional to 1,473,841.50 and 2,237,350.50 is: 3,396,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,841.50 : 2,237,350.50 = 2,237,350.50 : x
  2. Step 2: Convert to fraction form
    1,473,841.50/2,237,350.50 = 2,237,350.50/x
  3. Step 3: Cross multiply
    1,473,841.50x = 2,237,350.50 × 2,237,350.50
  4. Step 4: Simplify right side
    1,473,841.50x = 5,005,737,259,850.25
  5. Step 5: Solve for x
    x = 5,005,737,259,850.25/1,473,841.50
  6. Step 6: Final answer
    x = 3,396,387.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.