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Finding the Third Proportional to 892,864 and 1,347,347

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Solution

The third proportional to 892,864 and 1,347,347 is: 2,033,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,864 : 1,347,347 = 1,347,347 : x
  2. Step 2: Convert to fraction form
    892,864/1,347,347 = 1,347,347/x
  3. Step 3: Cross multiply
    892,864x = 1,347,347 × 1,347,347
  4. Step 4: Simplify right side
    892,864x = 1,815,343,938,409
  5. Step 5: Solve for x
    x = 1,815,343,938,409/892,864
  6. Step 6: Final answer
    x = 2,033,169.60

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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.