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Finding the Third Proportional to 376,712 and 889,096

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Solution

The third proportional to 376,712 and 889,096 is: 2,098,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,712 : 889,096 = 889,096 : x
  2. Step 2: Convert to fraction form
    376,712/889,096 = 889,096/x
  3. Step 3: Cross multiply
    376,712x = 889,096 × 889,096
  4. Step 4: Simplify right side
    376,712x = 790,491,697,216
  5. Step 5: Solve for x
    x = 790,491,697,216/376,712
  6. Step 6: Final answer
    x = 2,098,397.97

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Why These Related Problems?

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