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Finding the Third Proportional to 897,195 and 1,968,778.50

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Solution

The third proportional to 897,195 and 1,968,778.50 is: 4,320,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,195 : 1,968,778.50 = 1,968,778.50 : x
  2. Step 2: Convert to fraction form
    897,195/1,968,778.50 = 1,968,778.50/x
  3. Step 3: Cross multiply
    897,195x = 1,968,778.50 × 1,968,778.50
  4. Step 4: Simplify right side
    897,195x = 3,876,088,782,062.25
  5. Step 5: Solve for x
    x = 3,876,088,782,062.25/897,195
  6. Step 6: Final answer
    x = 4,320,230.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.