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Finding the Third Proportional to 4,510,866 and 6,517,420

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Solution

The third proportional to 4,510,866 and 6,517,420 is: 9,416,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,866 : 6,517,420 = 6,517,420 : x
  2. Step 2: Convert to fraction form
    4,510,866/6,517,420 = 6,517,420/x
  3. Step 3: Cross multiply
    4,510,866x = 6,517,420 × 6,517,420
  4. Step 4: Simplify right side
    4,510,866x = 42,476,763,456,400
  5. Step 5: Solve for x
    x = 42,476,763,456,400/4,510,866
  6. Step 6: Final answer
    x = 9,416,542.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.