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Finding the Third Proportional to 826,832 and 1,240,248

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Solution

The third proportional to 826,832 and 1,240,248 is: 1,860,372

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,832 : 1,240,248 = 1,240,248 : x
  2. Step 2: Convert to fraction form
    826,832/1,240,248 = 1,240,248/x
  3. Step 3: Cross multiply
    826,832x = 1,240,248 × 1,240,248
  4. Step 4: Simplify right side
    826,832x = 1,538,215,101,504
  5. Step 5: Solve for x
    x = 1,538,215,101,504/826,832
  6. Step 6: Final answer
    x = 1,860,372

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.