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Finding the Third Proportional to 3,280,574.25 and 4,416,282

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Solution

The third proportional to 3,280,574.25 and 4,416,282 is: 5,945,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280,574.25 : 4,416,282 = 4,416,282 : x
  2. Step 2: Convert to fraction form
    3,280,574.25/4,416,282 = 4,416,282/x
  3. Step 3: Cross multiply
    3,280,574.25x = 4,416,282 × 4,416,282
  4. Step 4: Simplify right side
    3,280,574.25x = 19,503,546,703,524
  5. Step 5: Solve for x
    x = 19,503,546,703,524/3,280,574.25
  6. Step 6: Final answer
    x = 5,945,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.