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Finding the Third Proportional to 788,375 and 1,632,748

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Solution

The third proportional to 788,375 and 1,632,748 is: 3,381,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,375 : 1,632,748 = 1,632,748 : x
  2. Step 2: Convert to fraction form
    788,375/1,632,748 = 1,632,748/x
  3. Step 3: Cross multiply
    788,375x = 1,632,748 × 1,632,748
  4. Step 4: Simplify right side
    788,375x = 2,665,866,031,504
  5. Step 5: Solve for x
    x = 2,665,866,031,504/788,375
  6. Step 6: Final answer
    x = 3,381,469.52

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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.