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Finding the Third Proportional to 633,464 and 1,319,344

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Solution

The third proportional to 633,464 and 1,319,344 is: 2,747,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,464 : 1,319,344 = 1,319,344 : x
  2. Step 2: Convert to fraction form
    633,464/1,319,344 = 1,319,344/x
  3. Step 3: Cross multiply
    633,464x = 1,319,344 × 1,319,344
  4. Step 4: Simplify right side
    633,464x = 1,740,668,590,336
  5. Step 5: Solve for x
    x = 1,740,668,590,336/633,464
  6. Step 6: Final answer
    x = 2,747,857.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.