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Finding the Third Proportional to 728,928 and 1,079,042

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Solution

The third proportional to 728,928 and 1,079,042 is: 1,597,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,928 : 1,079,042 = 1,079,042 : x
  2. Step 2: Convert to fraction form
    728,928/1,079,042 = 1,079,042/x
  3. Step 3: Cross multiply
    728,928x = 1,079,042 × 1,079,042
  4. Step 4: Simplify right side
    728,928x = 1,164,331,637,764
  5. Step 5: Solve for x
    x = 1,164,331,637,764/728,928
  6. Step 6: Final answer
    x = 1,597,320.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.