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Finding the Third Proportional to 493,376 and 1,061,594

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Solution

The third proportional to 493,376 and 1,061,594 is: 2,284,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,376 : 1,061,594 = 1,061,594 : x
  2. Step 2: Convert to fraction form
    493,376/1,061,594 = 1,061,594/x
  3. Step 3: Cross multiply
    493,376x = 1,061,594 × 1,061,594
  4. Step 4: Simplify right side
    493,376x = 1,126,981,820,836
  5. Step 5: Solve for x
    x = 1,126,981,820,836/493,376
  6. Step 6: Final answer
    x = 2,284,225.06

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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.