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Finding the Third Proportional to 683,594 and 1,061,218

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Solution

The third proportional to 683,594 and 1,061,218 is: 1,647,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,594 : 1,061,218 = 1,061,218 : x
  2. Step 2: Convert to fraction form
    683,594/1,061,218 = 1,061,218/x
  3. Step 3: Cross multiply
    683,594x = 1,061,218 × 1,061,218
  4. Step 4: Simplify right side
    683,594x = 1,126,183,643,524
  5. Step 5: Solve for x
    x = 1,126,183,643,524/683,594
  6. Step 6: Final answer
    x = 1,647,445.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.