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Finding the Third Proportional to 521,668 and 1,143,344

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Solution

The third proportional to 521,668 and 1,143,344 is: 2,505,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,668 : 1,143,344 = 1,143,344 : x
  2. Step 2: Convert to fraction form
    521,668/1,143,344 = 1,143,344/x
  3. Step 3: Cross multiply
    521,668x = 1,143,344 × 1,143,344
  4. Step 4: Simplify right side
    521,668x = 1,307,235,502,336
  5. Step 5: Solve for x
    x = 1,307,235,502,336/521,668
  6. Step 6: Final answer
    x = 2,505,876.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.