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Finding the Third Proportional to 829,080 and 1,790,496

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Solution

The third proportional to 829,080 and 1,790,496 is: 3,866,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,080 : 1,790,496 = 1,790,496 : x
  2. Step 2: Convert to fraction form
    829,080/1,790,496 = 1,790,496/x
  3. Step 3: Cross multiply
    829,080x = 1,790,496 × 1,790,496
  4. Step 4: Simplify right side
    829,080x = 3,205,875,926,016
  5. Step 5: Solve for x
    x = 3,205,875,926,016/829,080
  6. Step 6: Final answer
    x = 3,866,787.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.