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Finding the Third Proportional to 643,886 and 1,398,496

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Solution

The third proportional to 643,886 and 1,398,496 is: 3,037,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,886 : 1,398,496 = 1,398,496 : x
  2. Step 2: Convert to fraction form
    643,886/1,398,496 = 1,398,496/x
  3. Step 3: Cross multiply
    643,886x = 1,398,496 × 1,398,496
  4. Step 4: Simplify right side
    643,886x = 1,955,791,062,016
  5. Step 5: Solve for x
    x = 1,955,791,062,016/643,886
  6. Step 6: Final answer
    x = 3,037,480.33

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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.