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Finding the Third Proportional to 892,865 and 1,347,348

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Solution

The third proportional to 892,865 and 1,347,348 is: 2,033,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,865 : 1,347,348 = 1,347,348 : x
  2. Step 2: Convert to fraction form
    892,865/1,347,348 = 1,347,348/x
  3. Step 3: Cross multiply
    892,865x = 1,347,348 × 1,347,348
  4. Step 4: Simplify right side
    892,865x = 1,815,346,633,104
  5. Step 5: Solve for x
    x = 1,815,346,633,104/892,865
  6. Step 6: Final answer
    x = 2,033,170.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.