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Finding the Third Proportional to 443,451 and 1,005,282

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Solution

The third proportional to 443,451 and 1,005,282 is: 2,278,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,451 : 1,005,282 = 1,005,282 : x
  2. Step 2: Convert to fraction form
    443,451/1,005,282 = 1,005,282/x
  3. Step 3: Cross multiply
    443,451x = 1,005,282 × 1,005,282
  4. Step 4: Simplify right side
    443,451x = 1,010,591,899,524
  5. Step 5: Solve for x
    x = 1,010,591,899,524/443,451
  6. Step 6: Final answer
    x = 2,278,925.74

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.