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Finding the Third Proportional to 443,447 and 1,005,281

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Solution

The third proportional to 443,447 and 1,005,281 is: 2,278,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,447 : 1,005,281 = 1,005,281 : x
  2. Step 2: Convert to fraction form
    443,447/1,005,281 = 1,005,281/x
  3. Step 3: Cross multiply
    443,447x = 1,005,281 × 1,005,281
  4. Step 4: Simplify right side
    443,447x = 1,010,589,888,961
  5. Step 5: Solve for x
    x = 1,010,589,888,961/443,447
  6. Step 6: Final answer
    x = 2,278,941.77

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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.