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Finding the Third Proportional to 892,870 and 1,347,356

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Solution

The third proportional to 892,870 and 1,347,356 is: 2,033,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,870 : 1,347,356 = 1,347,356 : x
  2. Step 2: Convert to fraction form
    892,870/1,347,356 = 1,347,356/x
  3. Step 3: Cross multiply
    892,870x = 1,347,356 × 1,347,356
  4. Step 4: Simplify right side
    892,870x = 1,815,368,190,736
  5. Step 5: Solve for x
    x = 1,815,368,190,736/892,870
  6. Step 6: Final answer
    x = 2,033,183.10

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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.