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Finding the Third Proportional to 823,677 and 1,780,596

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Solution

The third proportional to 823,677 and 1,780,596 is: 3,849,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,677 : 1,780,596 = 1,780,596 : x
  2. Step 2: Convert to fraction form
    823,677/1,780,596 = 1,780,596/x
  3. Step 3: Cross multiply
    823,677x = 1,780,596 × 1,780,596
  4. Step 4: Simplify right side
    823,677x = 3,170,522,115,216
  5. Step 5: Solve for x
    x = 3,170,522,115,216/823,677
  6. Step 6: Final answer
    x = 3,849,229.87

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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.