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Finding the Third Proportional to 892,446 and 1,301,286

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Solution

The third proportional to 892,446 and 1,301,286 is: 1,897,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,446 : 1,301,286 = 1,301,286 : x
  2. Step 2: Convert to fraction form
    892,446/1,301,286 = 1,301,286/x
  3. Step 3: Cross multiply
    892,446x = 1,301,286 × 1,301,286
  4. Step 4: Simplify right side
    892,446x = 1,693,345,253,796
  5. Step 5: Solve for x
    x = 1,693,345,253,796/892,446
  6. Step 6: Final answer
    x = 1,897,420.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.