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Finding the Third Proportional to 643,986 and 1,398,591

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Solution

The third proportional to 643,986 and 1,398,591 is: 3,037,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,986 : 1,398,591 = 1,398,591 : x
  2. Step 2: Convert to fraction form
    643,986/1,398,591 = 1,398,591/x
  3. Step 3: Cross multiply
    643,986x = 1,398,591 × 1,398,591
  4. Step 4: Simplify right side
    643,986x = 1,956,056,785,281
  5. Step 5: Solve for x
    x = 1,956,056,785,281/643,986
  6. Step 6: Final answer
    x = 3,037,421.29

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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.