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Finding the Third Proportional to 892,324 and 1,359,393

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Solution

The third proportional to 892,324 and 1,359,393 is: 2,070,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,324 : 1,359,393 = 1,359,393 : x
  2. Step 2: Convert to fraction form
    892,324/1,359,393 = 1,359,393/x
  3. Step 3: Cross multiply
    892,324x = 1,359,393 × 1,359,393
  4. Step 4: Simplify right side
    892,324x = 1,847,949,328,449
  5. Step 5: Solve for x
    x = 1,847,949,328,449/892,324
  6. Step 6: Final answer
    x = 2,070,939.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.