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Finding the Third Proportional to 726,156 and 1,678,320

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Solution

The third proportional to 726,156 and 1,678,320 is: 3,878,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,156 : 1,678,320 = 1,678,320 : x
  2. Step 2: Convert to fraction form
    726,156/1,678,320 = 1,678,320/x
  3. Step 3: Cross multiply
    726,156x = 1,678,320 × 1,678,320
  4. Step 4: Simplify right side
    726,156x = 2,816,758,022,400
  5. Step 5: Solve for x
    x = 2,816,758,022,400/726,156
  6. Step 6: Final answer
    x = 3,878,998.48

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.