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Finding the Third Proportional to 1,424,809.13 and 2,099,538

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Solution

The third proportional to 1,424,809.13 and 2,099,538 is: 3,093,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,809.13 : 2,099,538 = 2,099,538 : x
  2. Step 2: Convert to fraction form
    1,424,809.13/2,099,538 = 2,099,538/x
  3. Step 3: Cross multiply
    1,424,809.13x = 2,099,538 × 2,099,538
  4. Step 4: Simplify right side
    1,424,809.13x = 4,408,059,813,444
  5. Step 5: Solve for x
    x = 4,408,059,813,444/1,424,809.13
  6. Step 6: Final answer
    x = 3,093,789.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.