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Finding the Third Proportional to 1,053,436 and 1,589,322

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Solution

The third proportional to 1,053,436 and 1,589,322 is: 2,397,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,436 : 1,589,322 = 1,589,322 : x
  2. Step 2: Convert to fraction form
    1,053,436/1,589,322 = 1,589,322/x
  3. Step 3: Cross multiply
    1,053,436x = 1,589,322 × 1,589,322
  4. Step 4: Simplify right side
    1,053,436x = 2,525,944,419,684
  5. Step 5: Solve for x
    x = 2,525,944,419,684/1,053,436
  6. Step 6: Final answer
    x = 2,397,814.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.