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Finding the Third Proportional to 754,176 and 1,641,264

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Solution

The third proportional to 754,176 and 1,641,264 is: 3,571,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,176 : 1,641,264 = 1,641,264 : x
  2. Step 2: Convert to fraction form
    754,176/1,641,264 = 1,641,264/x
  3. Step 3: Cross multiply
    754,176x = 1,641,264 × 1,641,264
  4. Step 4: Simplify right side
    754,176x = 2,693,747,517,696
  5. Step 5: Solve for x
    x = 2,693,747,517,696/754,176
  6. Step 6: Final answer
    x = 3,571,775.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.