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Finding the Third Proportional to 454,776 and 990,234

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Solution

The third proportional to 454,776 and 990,234 is: 2,156,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,776 : 990,234 = 990,234 : x
  2. Step 2: Convert to fraction form
    454,776/990,234 = 990,234/x
  3. Step 3: Cross multiply
    454,776x = 990,234 × 990,234
  4. Step 4: Simplify right side
    454,776x = 980,563,374,756
  5. Step 5: Solve for x
    x = 980,563,374,756/454,776
  6. Step 6: Final answer
    x = 2,156,145.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.