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Finding the Third Proportional to 1,077,738 and 1,498,509

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Solution

The third proportional to 1,077,738 and 1,498,509 is: 2,083,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,738 : 1,498,509 = 1,498,509 : x
  2. Step 2: Convert to fraction form
    1,077,738/1,498,509 = 1,498,509/x
  3. Step 3: Cross multiply
    1,077,738x = 1,498,509 × 1,498,509
  4. Step 4: Simplify right side
    1,077,738x = 2,245,529,223,081
  5. Step 5: Solve for x
    x = 2,245,529,223,081/1,077,738
  6. Step 6: Final answer
    x = 2,083,557.62

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.