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Finding the Third Proportional to 485,523 and 990,315

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Solution

The third proportional to 485,523 and 990,315 is: 2,019,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,523 : 990,315 = 990,315 : x
  2. Step 2: Convert to fraction form
    485,523/990,315 = 990,315/x
  3. Step 3: Cross multiply
    485,523x = 990,315 × 990,315
  4. Step 4: Simplify right side
    485,523x = 980,723,799,225
  5. Step 5: Solve for x
    x = 980,723,799,225/485,523
  6. Step 6: Final answer
    x = 2,019,932.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.