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Finding the Third Proportional to 949,765.50 and 1,422,997.88

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Solution

The third proportional to 949,765.50 and 1,422,997.88 is: 2,132,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,765.50 : 1,422,997.88 = 1,422,997.88 : x
  2. Step 2: Convert to fraction form
    949,765.50/1,422,997.88 = 1,422,997.88/x
  3. Step 3: Cross multiply
    949,765.50x = 1,422,997.88 × 1,422,997.88
  4. Step 4: Simplify right side
    949,765.50x = 2,024,922,952,254.52
  5. Step 5: Solve for x
    x = 2,024,922,952,254.52/949,765.50
  6. Step 6: Final answer
    x = 2,132,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.