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Finding the Third Proportional to 488,097 and 999,981

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Solution

The third proportional to 488,097 and 999,981 is: 2,048,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,097 : 999,981 = 999,981 : x
  2. Step 2: Convert to fraction form
    488,097/999,981 = 999,981/x
  3. Step 3: Cross multiply
    488,097x = 999,981 × 999,981
  4. Step 4: Simplify right side
    488,097x = 999,962,000,361
  5. Step 5: Solve for x
    x = 999,962,000,361/488,097
  6. Step 6: Final answer
    x = 2,048,695.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.