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Finding the Third Proportional to 2,350,984.50 and 4,801,591.50

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Solution

The third proportional to 2,350,984.50 and 4,801,591.50 is: 9,806,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350,984.50 : 4,801,591.50 = 4,801,591.50 : x
  2. Step 2: Convert to fraction form
    2,350,984.50/4,801,591.50 = 4,801,591.50/x
  3. Step 3: Cross multiply
    2,350,984.50x = 4,801,591.50 × 4,801,591.50
  4. Step 4: Simplify right side
    2,350,984.50x = 23,055,280,932,872.25
  5. Step 5: Solve for x
    x = 23,055,280,932,872.25/2,350,984.50
  6. Step 6: Final answer
    x = 9,806,649.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.