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Finding the Third Proportional to 928,851.75 and 1,921,420.50

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Solution

The third proportional to 928,851.75 and 1,921,420.50 is: 3,974,645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,851.75 : 1,921,420.50 = 1,921,420.50 : x
  2. Step 2: Convert to fraction form
    928,851.75/1,921,420.50 = 1,921,420.50/x
  3. Step 3: Cross multiply
    928,851.75x = 1,921,420.50 × 1,921,420.50
  4. Step 4: Simplify right side
    928,851.75x = 3,691,856,737,820.25
  5. Step 5: Solve for x
    x = 3,691,856,737,820.25/928,851.75
  6. Step 6: Final answer
    x = 3,974,645.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.