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Finding the Third Proportional to 1,088,080 and 1,529,538

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Solution

The third proportional to 1,088,080 and 1,529,538 is: 2,150,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,080 : 1,529,538 = 1,529,538 : x
  2. Step 2: Convert to fraction form
    1,088,080/1,529,538 = 1,529,538/x
  3. Step 3: Cross multiply
    1,088,080x = 1,529,538 × 1,529,538
  4. Step 4: Simplify right side
    1,088,080x = 2,339,486,493,444
  5. Step 5: Solve for x
    x = 2,339,486,493,444/1,088,080
  6. Step 6: Final answer
    x = 2,150,105.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.