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Finding the Third Proportional to 502,668 and 1,040,328

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Solution

The third proportional to 502,668 and 1,040,328 is: 2,153,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,668 : 1,040,328 = 1,040,328 : x
  2. Step 2: Convert to fraction form
    502,668/1,040,328 = 1,040,328/x
  3. Step 3: Cross multiply
    502,668x = 1,040,328 × 1,040,328
  4. Step 4: Simplify right side
    502,668x = 1,082,282,347,584
  5. Step 5: Solve for x
    x = 1,082,282,347,584/502,668
  6. Step 6: Final answer
    x = 2,153,075.88

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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.