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Finding the Third Proportional to 398,243 and 859,819

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Solution

The third proportional to 398,243 and 859,819 is: 1,856,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,243 : 859,819 = 859,819 : x
  2. Step 2: Convert to fraction form
    398,243/859,819 = 859,819/x
  3. Step 3: Cross multiply
    398,243x = 859,819 × 859,819
  4. Step 4: Simplify right side
    398,243x = 739,288,712,761
  5. Step 5: Solve for x
    x = 739,288,712,761/398,243
  6. Step 6: Final answer
    x = 1,856,375.91

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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.