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Finding the Third Proportional to 658,364 and 1,414,941

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Solution

The third proportional to 658,364 and 1,414,941 is: 3,040,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,364 : 1,414,941 = 1,414,941 : x
  2. Step 2: Convert to fraction form
    658,364/1,414,941 = 1,414,941/x
  3. Step 3: Cross multiply
    658,364x = 1,414,941 × 1,414,941
  4. Step 4: Simplify right side
    658,364x = 2,002,058,033,481
  5. Step 5: Solve for x
    x = 2,002,058,033,481/658,364
  6. Step 6: Final answer
    x = 3,040,959.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.