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Finding the Third Proportional to 1,238,698 and 1,835,022

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Solution

The third proportional to 1,238,698 and 1,835,022 is: 2,718,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,698 : 1,835,022 = 1,835,022 : x
  2. Step 2: Convert to fraction form
    1,238,698/1,835,022 = 1,835,022/x
  3. Step 3: Cross multiply
    1,238,698x = 1,835,022 × 1,835,022
  4. Step 4: Simplify right side
    1,238,698x = 3,367,305,740,484
  5. Step 5: Solve for x
    x = 3,367,305,740,484/1,238,698
  6. Step 6: Final answer
    x = 2,718,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.