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Finding the Third Proportional to 1,496,864 and 2,345,439

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Solution

The third proportional to 1,496,864 and 2,345,439 is: 3,675,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,864 : 2,345,439 = 2,345,439 : x
  2. Step 2: Convert to fraction form
    1,496,864/2,345,439 = 2,345,439/x
  3. Step 3: Cross multiply
    1,496,864x = 2,345,439 × 2,345,439
  4. Step 4: Simplify right side
    1,496,864x = 5,501,084,102,721
  5. Step 5: Solve for x
    x = 5,501,084,102,721/1,496,864
  6. Step 6: Final answer
    x = 3,675,072.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.