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Finding the Third Proportional to 1,033,302 and 2,189,526

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Solution

The third proportional to 1,033,302 and 2,189,526 is: 4,639,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,302 : 2,189,526 = 2,189,526 : x
  2. Step 2: Convert to fraction form
    1,033,302/2,189,526 = 2,189,526/x
  3. Step 3: Cross multiply
    1,033,302x = 2,189,526 × 2,189,526
  4. Step 4: Simplify right side
    1,033,302x = 4,794,024,104,676
  5. Step 5: Solve for x
    x = 4,794,024,104,676/1,033,302
  6. Step 6: Final answer
    x = 4,639,518.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.