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Finding the Third Proportional to 537,910 and 1,267,979

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Solution

The third proportional to 537,910 and 1,267,979 is: 2,988,921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,910 : 1,267,979 = 1,267,979 : x
  2. Step 2: Convert to fraction form
    537,910/1,267,979 = 1,267,979/x
  3. Step 3: Cross multiply
    537,910x = 1,267,979 × 1,267,979
  4. Step 4: Simplify right side
    537,910x = 1,607,770,744,441
  5. Step 5: Solve for x
    x = 1,607,770,744,441/537,910
  6. Step 6: Final answer
    x = 2,988,921.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.