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Finding the Third Proportional to 2,057,481 and 3,086,113.50

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Solution

The third proportional to 2,057,481 and 3,086,113.50 is: 4,629,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,481 : 3,086,113.50 = 3,086,113.50 : x
  2. Step 2: Convert to fraction form
    2,057,481/3,086,113.50 = 3,086,113.50/x
  3. Step 3: Cross multiply
    2,057,481x = 3,086,113.50 × 3,086,113.50
  4. Step 4: Simplify right side
    2,057,481x = 9,524,096,534,882.25
  5. Step 5: Solve for x
    x = 9,524,096,534,882.25/2,057,481
  6. Step 6: Final answer
    x = 4,629,008.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.