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Finding the Third Proportional to 676,873 and 1,015,442

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Solution

The third proportional to 676,873 and 1,015,442 is: 1,523,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,873 : 1,015,442 = 1,015,442 : x
  2. Step 2: Convert to fraction form
    676,873/1,015,442 = 1,015,442/x
  3. Step 3: Cross multiply
    676,873x = 1,015,442 × 1,015,442
  4. Step 4: Simplify right side
    676,873x = 1,031,122,455,364
  5. Step 5: Solve for x
    x = 1,031,122,455,364/676,873
  6. Step 6: Final answer
    x = 1,523,361.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.