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Finding the Third Proportional to 892,872 and 2,107,350

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Solution

The third proportional to 892,872 and 2,107,350 is: 4,973,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,872 : 2,107,350 = 2,107,350 : x
  2. Step 2: Convert to fraction form
    892,872/2,107,350 = 2,107,350/x
  3. Step 3: Cross multiply
    892,872x = 2,107,350 × 2,107,350
  4. Step 4: Simplify right side
    892,872x = 4,440,924,022,500
  5. Step 5: Solve for x
    x = 4,440,924,022,500/892,872
  6. Step 6: Final answer
    x = 4,973,752.14

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.