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Finding the Third Proportional to 641,616 and 1,392,510

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Solution

The third proportional to 641,616 and 1,392,510 is: 3,022,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,616 : 1,392,510 = 1,392,510 : x
  2. Step 2: Convert to fraction form
    641,616/1,392,510 = 1,392,510/x
  3. Step 3: Cross multiply
    641,616x = 1,392,510 × 1,392,510
  4. Step 4: Simplify right side
    641,616x = 1,939,084,100,100
  5. Step 5: Solve for x
    x = 1,939,084,100,100/641,616
  6. Step 6: Final answer
    x = 3,022,187.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.