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Finding the Third Proportional to 502,675 and 1,040,342

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Solution

The third proportional to 502,675 and 1,040,342 is: 2,153,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,675 : 1,040,342 = 1,040,342 : x
  2. Step 2: Convert to fraction form
    502,675/1,040,342 = 1,040,342/x
  3. Step 3: Cross multiply
    502,675x = 1,040,342 × 1,040,342
  4. Step 4: Simplify right side
    502,675x = 1,082,311,476,964
  5. Step 5: Solve for x
    x = 1,082,311,476,964/502,675
  6. Step 6: Final answer
    x = 2,153,103.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.