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Finding the Third Proportional to 2,863,452.75 and 4,005,410.25

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Solution

The third proportional to 2,863,452.75 and 4,005,410.25 is: 5,602,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,452.75 : 4,005,410.25 = 4,005,410.25 : x
  2. Step 2: Convert to fraction form
    2,863,452.75/4,005,410.25 = 4,005,410.25/x
  3. Step 3: Cross multiply
    2,863,452.75x = 4,005,410.25 × 4,005,410.25
  4. Step 4: Simplify right side
    2,863,452.75x = 16,043,311,270,805.06
  5. Step 5: Solve for x
    x = 16,043,311,270,805.06/2,863,452.75
  6. Step 6: Final answer
    x = 5,602,785.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.