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Finding the Third Proportional to 804,564 and 1,675,876

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Solution

The third proportional to 804,564 and 1,675,876 is: 3,490,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,564 : 1,675,876 = 1,675,876 : x
  2. Step 2: Convert to fraction form
    804,564/1,675,876 = 1,675,876/x
  3. Step 3: Cross multiply
    804,564x = 1,675,876 × 1,675,876
  4. Step 4: Simplify right side
    804,564x = 2,808,560,367,376
  5. Step 5: Solve for x
    x = 2,808,560,367,376/804,564
  6. Step 6: Final answer
    x = 3,490,785.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.