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Finding the Third Proportional to 728,378 and 1,142,610

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Solution

The third proportional to 728,378 and 1,142,610 is: 1,792,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,378 : 1,142,610 = 1,142,610 : x
  2. Step 2: Convert to fraction form
    728,378/1,142,610 = 1,142,610/x
  3. Step 3: Cross multiply
    728,378x = 1,142,610 × 1,142,610
  4. Step 4: Simplify right side
    728,378x = 1,305,557,612,100
  5. Step 5: Solve for x
    x = 1,305,557,612,100/728,378
  6. Step 6: Final answer
    x = 1,792,417.69

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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.