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Finding the Third Proportional to 1,903,745.53 and 4,154,753.25

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Solution

The third proportional to 1,903,745.53 and 4,154,753.25 is: 9,067,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903,745.53 : 4,154,753.25 = 4,154,753.25 : x
  2. Step 2: Convert to fraction form
    1,903,745.53/4,154,753.25 = 4,154,753.25/x
  3. Step 3: Cross multiply
    1,903,745.53x = 4,154,753.25 × 4,154,753.25
  4. Step 4: Simplify right side
    1,903,745.53x = 17,261,974,568,385.56
  5. Step 5: Solve for x
    x = 17,261,974,568,385.56/1,903,745.53
  6. Step 6: Final answer
    x = 9,067,374.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.