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Finding the Third Proportional to 994,824 and 2,131,478

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Solution

The third proportional to 994,824 and 2,131,478 is: 4,566,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,824 : 2,131,478 = 2,131,478 : x
  2. Step 2: Convert to fraction form
    994,824/2,131,478 = 2,131,478/x
  3. Step 3: Cross multiply
    994,824x = 2,131,478 × 2,131,478
  4. Step 4: Simplify right side
    994,824x = 4,543,198,464,484
  5. Step 5: Solve for x
    x = 4,543,198,464,484/994,824
  6. Step 6: Final answer
    x = 4,566,836.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.