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Finding the Third Proportional to 770,272 and 1,662,331

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Solution

The third proportional to 770,272 and 1,662,331 is: 3,587,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,272 : 1,662,331 = 1,662,331 : x
  2. Step 2: Convert to fraction form
    770,272/1,662,331 = 1,662,331/x
  3. Step 3: Cross multiply
    770,272x = 1,662,331 × 1,662,331
  4. Step 4: Simplify right side
    770,272x = 2,763,344,353,561
  5. Step 5: Solve for x
    x = 2,763,344,353,561/770,272
  6. Step 6: Final answer
    x = 3,587,491.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.