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Finding the Third Proportional to 829,694 and 1,820,092

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Solution

The third proportional to 829,694 and 1,820,092 is: 3,992,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,694 : 1,820,092 = 1,820,092 : x
  2. Step 2: Convert to fraction form
    829,694/1,820,092 = 1,820,092/x
  3. Step 3: Cross multiply
    829,694x = 1,820,092 × 1,820,092
  4. Step 4: Simplify right side
    829,694x = 3,312,734,888,464
  5. Step 5: Solve for x
    x = 3,312,734,888,464/829,694
  6. Step 6: Final answer
    x = 3,992,718.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.