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Finding the Third Proportional to 763,670 and 1,679,884

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Solution

The third proportional to 763,670 and 1,679,884 is: 3,695,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,670 : 1,679,884 = 1,679,884 : x
  2. Step 2: Convert to fraction form
    763,670/1,679,884 = 1,679,884/x
  3. Step 3: Cross multiply
    763,670x = 1,679,884 × 1,679,884
  4. Step 4: Simplify right side
    763,670x = 2,822,010,253,456
  5. Step 5: Solve for x
    x = 2,822,010,253,456/763,670
  6. Step 6: Final answer
    x = 3,695,326.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.