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Finding the Third Proportional to 2,037,008.25 and 4,465,732.50

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Solution

The third proportional to 2,037,008.25 and 4,465,732.50 is: 9,790,223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037,008.25 : 4,465,732.50 = 4,465,732.50 : x
  2. Step 2: Convert to fraction form
    2,037,008.25/4,465,732.50 = 4,465,732.50/x
  3. Step 3: Cross multiply
    2,037,008.25x = 4,465,732.50 × 4,465,732.50
  4. Step 4: Simplify right side
    2,037,008.25x = 19,942,766,761,556.25
  5. Step 5: Solve for x
    x = 19,942,766,761,556.25/2,037,008.25
  6. Step 6: Final answer
    x = 9,790,223.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.