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Finding the Third Proportional to 665,342 and 1,439,932

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Solution

The third proportional to 665,342 and 1,439,932 is: 3,116,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,342 : 1,439,932 = 1,439,932 : x
  2. Step 2: Convert to fraction form
    665,342/1,439,932 = 1,439,932/x
  3. Step 3: Cross multiply
    665,342x = 1,439,932 × 1,439,932
  4. Step 4: Simplify right side
    665,342x = 2,073,404,164,624
  5. Step 5: Solve for x
    x = 2,073,404,164,624/665,342
  6. Step 6: Final answer
    x = 3,116,298.33

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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.