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Finding the Third Proportional to 502,067 and 1,103,643

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Solution

The third proportional to 502,067 and 1,103,643 is: 2,426,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,067 : 1,103,643 = 1,103,643 : x
  2. Step 2: Convert to fraction form
    502,067/1,103,643 = 1,103,643/x
  3. Step 3: Cross multiply
    502,067x = 1,103,643 × 1,103,643
  4. Step 4: Simplify right side
    502,067x = 1,218,027,871,449
  5. Step 5: Solve for x
    x = 1,218,027,871,449/502,067
  6. Step 6: Final answer
    x = 2,426,026.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.