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Finding the Third Proportional to 1,514,816 and 3,314,682

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Solution

The third proportional to 1,514,816 and 3,314,682 is: 7,253,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,816 : 3,314,682 = 3,314,682 : x
  2. Step 2: Convert to fraction form
    1,514,816/3,314,682 = 3,314,682/x
  3. Step 3: Cross multiply
    1,514,816x = 3,314,682 × 3,314,682
  4. Step 4: Simplify right side
    1,514,816x = 10,987,116,761,124
  5. Step 5: Solve for x
    x = 10,987,116,761,124/1,514,816
  6. Step 6: Final answer
    x = 7,253,103.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.