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Finding the Third Proportional to 478,105.50 and 1,029,981

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Solution

The third proportional to 478,105.50 and 1,029,981 is: 2,218,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,105.50 : 1,029,981 = 1,029,981 : x
  2. Step 2: Convert to fraction form
    478,105.50/1,029,981 = 1,029,981/x
  3. Step 3: Cross multiply
    478,105.50x = 1,029,981 × 1,029,981
  4. Step 4: Simplify right side
    478,105.50x = 1,060,860,860,361
  5. Step 5: Solve for x
    x = 1,060,860,860,361/478,105.50
  6. Step 6: Final answer
    x = 2,218,884.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.