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Finding the Third Proportional to 1,782,951.75 and 3,843,105.75

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Solution

The third proportional to 1,782,951.75 and 3,843,105.75 is: 8,283,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,951.75 : 3,843,105.75 = 3,843,105.75 : x
  2. Step 2: Convert to fraction form
    1,782,951.75/3,843,105.75 = 3,843,105.75/x
  3. Step 3: Cross multiply
    1,782,951.75x = 3,843,105.75 × 3,843,105.75
  4. Step 4: Simplify right side
    1,782,951.75x = 14,769,461,805,683.06
  5. Step 5: Solve for x
    x = 14,769,461,805,683.06/1,782,951.75
  6. Step 6: Final answer
    x = 8,283,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.