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Finding the Third Proportional to 897,783.75 and 1,969,980.75

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Solution

The third proportional to 897,783.75 and 1,969,980.75 is: 4,322,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,783.75 : 1,969,980.75 = 1,969,980.75 : x
  2. Step 2: Convert to fraction form
    897,783.75/1,969,980.75 = 1,969,980.75/x
  3. Step 3: Cross multiply
    897,783.75x = 1,969,980.75 × 1,969,980.75
  4. Step 4: Simplify right side
    897,783.75x = 3,880,824,155,370.56
  5. Step 5: Solve for x
    x = 3,880,824,155,370.56/897,783.75
  6. Step 6: Final answer
    x = 4,322,671.42

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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.