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Finding the Third Proportional to 643,912 and 1,398,536

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Solution

The third proportional to 643,912 and 1,398,536 is: 3,037,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,912 : 1,398,536 = 1,398,536 : x
  2. Step 2: Convert to fraction form
    643,912/1,398,536 = 1,398,536/x
  3. Step 3: Cross multiply
    643,912x = 1,398,536 × 1,398,536
  4. Step 4: Simplify right side
    643,912x = 1,955,902,943,296
  5. Step 5: Solve for x
    x = 1,955,902,943,296/643,912
  6. Step 6: Final answer
    x = 3,037,531.44

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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.