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Finding the Third Proportional to 1,228,758.19 and 1,843,136.44

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Solution

The third proportional to 1,228,758.19 and 1,843,136.44 is: 2,764,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,758.19 : 1,843,136.44 = 1,843,136.44 : x
  2. Step 2: Convert to fraction form
    1,228,758.19/1,843,136.44 = 1,843,136.44/x
  3. Step 3: Cross multiply
    1,228,758.19x = 1,843,136.44 × 1,843,136.44
  4. Step 4: Simplify right side
    1,228,758.19x = 3,397,151,927,240.19
  5. Step 5: Solve for x
    x = 3,397,151,927,240.19/1,228,758.19
  6. Step 6: Final answer
    x = 2,764,703.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.