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Finding the Third Proportional to 2,020,079.25 and 4,432,704.75

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Solution

The third proportional to 2,020,079.25 and 4,432,704.75 is: 9,726,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020,079.25 : 4,432,704.75 = 4,432,704.75 : x
  2. Step 2: Convert to fraction form
    2,020,079.25/4,432,704.75 = 4,432,704.75/x
  3. Step 3: Cross multiply
    2,020,079.25x = 4,432,704.75 × 4,432,704.75
  4. Step 4: Simplify right side
    2,020,079.25x = 19,648,871,400,672.56
  5. Step 5: Solve for x
    x = 19,648,871,400,672.56/2,020,079.25
  6. Step 6: Final answer
    x = 9,726,782.45

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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.