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Finding the Third Proportional to 647,245.38 and 970,868.13

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Solution

The third proportional to 647,245.38 and 970,868.13 is: 1,456,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,245.38 : 970,868.13 = 970,868.13 : x
  2. Step 2: Convert to fraction form
    647,245.38/970,868.13 = 970,868.13/x
  3. Step 3: Cross multiply
    647,245.38x = 970,868.13 × 970,868.13
  4. Step 4: Simplify right side
    647,245.38x = 942,584,916,141.02
  5. Step 5: Solve for x
    x = 942,584,916,141.02/647,245.38
  6. Step 6: Final answer
    x = 1,456,302.28

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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.