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Finding the Third Proportional to 683,602 and 1,061,230

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Solution

The third proportional to 683,602 and 1,061,230 is: 1,647,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,602 : 1,061,230 = 1,061,230 : x
  2. Step 2: Convert to fraction form
    683,602/1,061,230 = 1,061,230/x
  3. Step 3: Cross multiply
    683,602x = 1,061,230 × 1,061,230
  4. Step 4: Simplify right side
    683,602x = 1,126,209,112,900
  5. Step 5: Solve for x
    x = 1,126,209,112,900/683,602
  6. Step 6: Final answer
    x = 1,647,463.16

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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.