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Finding the Third Proportional to 502,434 and 1,083,579

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Solution

The third proportional to 502,434 and 1,083,579 is: 2,336,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,434 : 1,083,579 = 1,083,579 : x
  2. Step 2: Convert to fraction form
    502,434/1,083,579 = 1,083,579/x
  3. Step 3: Cross multiply
    502,434x = 1,083,579 × 1,083,579
  4. Step 4: Simplify right side
    502,434x = 1,174,143,449,241
  5. Step 5: Solve for x
    x = 1,174,143,449,241/502,434
  6. Step 6: Final answer
    x = 2,336,910.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.