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Finding the Third Proportional to 950,847.75 and 2,242,307.25

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Solution

The third proportional to 950,847.75 and 2,242,307.25 is: 5,287,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,847.75 : 2,242,307.25 = 2,242,307.25 : x
  2. Step 2: Convert to fraction form
    950,847.75/2,242,307.25 = 2,242,307.25/x
  3. Step 3: Cross multiply
    950,847.75x = 2,242,307.25 × 2,242,307.25
  4. Step 4: Simplify right side
    950,847.75x = 5,027,941,803,402.56
  5. Step 5: Solve for x
    x = 5,027,941,803,402.56/950,847.75
  6. Step 6: Final answer
    x = 5,287,851.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.