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Finding the Third Proportional to 726,342 and 1,200,393

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Solution

The third proportional to 726,342 and 1,200,393 is: 1,983,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,342 : 1,200,393 = 1,200,393 : x
  2. Step 2: Convert to fraction form
    726,342/1,200,393 = 1,200,393/x
  3. Step 3: Cross multiply
    726,342x = 1,200,393 × 1,200,393
  4. Step 4: Simplify right side
    726,342x = 1,440,943,354,449
  5. Step 5: Solve for x
    x = 1,440,943,354,449/726,342
  6. Step 6: Final answer
    x = 1,983,835.93

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.