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Finding the Third Proportional to 872,364 and 1,882,212

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Solution

The third proportional to 872,364 and 1,882,212 is: 4,061,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,364 : 1,882,212 = 1,882,212 : x
  2. Step 2: Convert to fraction form
    872,364/1,882,212 = 1,882,212/x
  3. Step 3: Cross multiply
    872,364x = 1,882,212 × 1,882,212
  4. Step 4: Simplify right side
    872,364x = 3,542,722,012,944
  5. Step 5: Solve for x
    x = 3,542,722,012,944/872,364
  6. Step 6: Final answer
    x = 4,061,059.39

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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.