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Finding the Third Proportional to 683,651 and 1,061,315

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Solution

The third proportional to 683,651 and 1,061,315 is: 1,647,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,651 : 1,061,315 = 1,061,315 : x
  2. Step 2: Convert to fraction form
    683,651/1,061,315 = 1,061,315/x
  3. Step 3: Cross multiply
    683,651x = 1,061,315 × 1,061,315
  4. Step 4: Simplify right side
    683,651x = 1,126,389,529,225
  5. Step 5: Solve for x
    x = 1,126,389,529,225/683,651
  6. Step 6: Final answer
    x = 1,647,608.98

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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.