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Finding the Third Proportional to 647,244.78 and 970,867.22

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Solution

The third proportional to 647,244.78 and 970,867.22 is: 1,456,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,244.78 : 970,867.22 = 970,867.22 : x
  2. Step 2: Convert to fraction form
    647,244.78/970,867.22 = 970,867.22/x
  3. Step 3: Cross multiply
    647,244.78x = 970,867.22 × 970,867.22
  4. Step 4: Simplify right side
    647,244.78x = 942,583,156,443.36
  5. Step 5: Solve for x
    x = 942,583,156,443.36/647,244.78
  6. Step 6: Final answer
    x = 1,456,300.90

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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.