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Finding the Third Proportional to 851,100.75 and 1,317,772.13

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Solution

The third proportional to 851,100.75 and 1,317,772.13 is: 2,040,326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,100.75 : 1,317,772.13 = 1,317,772.13 : x
  2. Step 2: Convert to fraction form
    851,100.75/1,317,772.13 = 1,317,772.13/x
  3. Step 3: Cross multiply
    851,100.75x = 1,317,772.13 × 1,317,772.13
  4. Step 4: Simplify right side
    851,100.75x = 1,736,523,373,427.02
  5. Step 5: Solve for x
    x = 1,736,523,373,427.02/851,100.75
  6. Step 6: Final answer
    x = 2,040,326.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.