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Finding the Third Proportional to 893,791 and 1,944,830

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Solution

The third proportional to 893,791 and 1,944,830 is: 4,231,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,791 : 1,944,830 = 1,944,830 : x
  2. Step 2: Convert to fraction form
    893,791/1,944,830 = 1,944,830/x
  3. Step 3: Cross multiply
    893,791x = 1,944,830 × 1,944,830
  4. Step 4: Simplify right side
    893,791x = 3,782,363,728,900
  5. Step 5: Solve for x
    x = 3,782,363,728,900/893,791
  6. Step 6: Final answer
    x = 4,231,821.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.