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Finding the Third Proportional to 674,842 and 1,034,812

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Solution

The third proportional to 674,842 and 1,034,812 is: 1,586,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,842 : 1,034,812 = 1,034,812 : x
  2. Step 2: Convert to fraction form
    674,842/1,034,812 = 1,034,812/x
  3. Step 3: Cross multiply
    674,842x = 1,034,812 × 1,034,812
  4. Step 4: Simplify right side
    674,842x = 1,070,835,875,344
  5. Step 5: Solve for x
    x = 1,070,835,875,344/674,842
  6. Step 6: Final answer
    x = 1,586,794.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.