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Finding the Third Proportional to 640,626 and 982,656

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Solution

The third proportional to 640,626 and 982,656 is: 1,507,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,626 : 982,656 = 982,656 : x
  2. Step 2: Convert to fraction form
    640,626/982,656 = 982,656/x
  3. Step 3: Cross multiply
    640,626x = 982,656 × 982,656
  4. Step 4: Simplify right side
    640,626x = 965,612,814,336
  5. Step 5: Solve for x
    x = 965,612,814,336/640,626
  6. Step 6: Final answer
    x = 1,507,295.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.