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Finding the Third Proportional to 1,498,041 and 2,119,683

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Solution

The third proportional to 1,498,041 and 2,119,683 is: 2,999,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,041 : 2,119,683 = 2,119,683 : x
  2. Step 2: Convert to fraction form
    1,498,041/2,119,683 = 2,119,683/x
  3. Step 3: Cross multiply
    1,498,041x = 2,119,683 × 2,119,683
  4. Step 4: Simplify right side
    1,498,041x = 4,493,056,020,489
  5. Step 5: Solve for x
    x = 4,493,056,020,489/1,498,041
  6. Step 6: Final answer
    x = 2,999,287.75

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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.