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Finding the Third Proportional to 647,295 and 970,942

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Solution

The third proportional to 647,295 and 970,942 is: 1,456,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,295 : 970,942 = 970,942 : x
  2. Step 2: Convert to fraction form
    647,295/970,942 = 970,942/x
  3. Step 3: Cross multiply
    647,295x = 970,942 × 970,942
  4. Step 4: Simplify right side
    647,295x = 942,728,367,364
  5. Step 5: Solve for x
    x = 942,728,367,364/647,295
  6. Step 6: Final answer
    x = 1,456,412.25

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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.