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Finding the Third Proportional to 929,828 and 1,436,197

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Solution

The third proportional to 929,828 and 1,436,197 is: 2,218,326.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,828 : 1,436,197 = 1,436,197 : x
  2. Step 2: Convert to fraction form
    929,828/1,436,197 = 1,436,197/x
  3. Step 3: Cross multiply
    929,828x = 1,436,197 × 1,436,197
  4. Step 4: Simplify right side
    929,828x = 2,062,661,822,809
  5. Step 5: Solve for x
    x = 2,062,661,822,809/929,828
  6. Step 6: Final answer
    x = 2,218,326.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.