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Finding the Third Proportional to 658,369 and 1,414,952

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Solution

The third proportional to 658,369 and 1,414,952 is: 3,040,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,369 : 1,414,952 = 1,414,952 : x
  2. Step 2: Convert to fraction form
    658,369/1,414,952 = 1,414,952/x
  3. Step 3: Cross multiply
    658,369x = 1,414,952 × 1,414,952
  4. Step 4: Simplify right side
    658,369x = 2,002,089,162,304
  5. Step 5: Solve for x
    x = 2,002,089,162,304/658,369
  6. Step 6: Final answer
    x = 3,040,983.34

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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.