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Finding the Third Proportional to 822,534 and 1,981,517

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Solution

The third proportional to 822,534 and 1,981,517 is: 4,773,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,534 : 1,981,517 = 1,981,517 : x
  2. Step 2: Convert to fraction form
    822,534/1,981,517 = 1,981,517/x
  3. Step 3: Cross multiply
    822,534x = 1,981,517 × 1,981,517
  4. Step 4: Simplify right side
    822,534x = 3,926,409,621,289
  5. Step 5: Solve for x
    x = 3,926,409,621,289/822,534
  6. Step 6: Final answer
    x = 4,773,552.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.