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Finding the Third Proportional to 808,084.69 and 1,205,120.53

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Solution

The third proportional to 808,084.69 and 1,205,120.53 is: 1,797,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,084.69 : 1,205,120.53 = 1,205,120.53 : x
  2. Step 2: Convert to fraction form
    808,084.69/1,205,120.53 = 1,205,120.53/x
  3. Step 3: Cross multiply
    808,084.69x = 1,205,120.53 × 1,205,120.53
  4. Step 4: Simplify right side
    808,084.69x = 1,452,315,494,840.28
  5. Step 5: Solve for x
    x = 1,452,315,494,840.28/808,084.69
  6. Step 6: Final answer
    x = 1,797,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.