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Finding the Third Proportional to 728,380 and 1,142,612

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Solution

The third proportional to 728,380 and 1,142,612 is: 1,792,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,380 : 1,142,612 = 1,142,612 : x
  2. Step 2: Convert to fraction form
    728,380/1,142,612 = 1,142,612/x
  3. Step 3: Cross multiply
    728,380x = 1,142,612 × 1,142,612
  4. Step 4: Simplify right side
    728,380x = 1,305,562,182,544
  5. Step 5: Solve for x
    x = 1,305,562,182,544/728,380
  6. Step 6: Final answer
    x = 1,792,419.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.