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Finding the Third Proportional to 588,314 and 1,269,940

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Solution

The third proportional to 588,314 and 1,269,940 is: 2,741,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,314 : 1,269,940 = 1,269,940 : x
  2. Step 2: Convert to fraction form
    588,314/1,269,940 = 1,269,940/x
  3. Step 3: Cross multiply
    588,314x = 1,269,940 × 1,269,940
  4. Step 4: Simplify right side
    588,314x = 1,612,747,603,600
  5. Step 5: Solve for x
    x = 1,612,747,603,600/588,314
  6. Step 6: Final answer
    x = 2,741,304.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.