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Finding the Third Proportional to 386,782.91 and 835,784.26

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Solution

The third proportional to 386,782.91 and 835,784.26 is: 1,806,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782.91 : 835,784.26 = 835,784.26 : x
  2. Step 2: Convert to fraction form
    386,782.91/835,784.26 = 835,784.26/x
  3. Step 3: Cross multiply
    386,782.91x = 835,784.26 × 835,784.26
  4. Step 4: Simplify right side
    386,782.91x = 698,535,332,136.77
  5. Step 5: Solve for x
    x = 698,535,332,136.77/386,782.91
  6. Step 6: Final answer
    x = 1,806,013.95

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