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Finding the Third Proportional to 754,179 and 1,641,270

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Solution

The third proportional to 754,179 and 1,641,270 is: 3,571,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,179 : 1,641,270 = 1,641,270 : x
  2. Step 2: Convert to fraction form
    754,179/1,641,270 = 1,641,270/x
  3. Step 3: Cross multiply
    754,179x = 1,641,270 × 1,641,270
  4. Step 4: Simplify right side
    754,179x = 2,693,767,212,900
  5. Step 5: Solve for x
    x = 2,693,767,212,900/754,179
  6. Step 6: Final answer
    x = 3,571,787.62

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Why These Related Problems?

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