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Finding the Third Proportional to 2,105,651.25 and 4,311,050.25

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Solution

The third proportional to 2,105,651.25 and 4,311,050.25 is: 8,826,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,651.25 : 4,311,050.25 = 4,311,050.25 : x
  2. Step 2: Convert to fraction form
    2,105,651.25/4,311,050.25 = 4,311,050.25/x
  3. Step 3: Cross multiply
    2,105,651.25x = 4,311,050.25 × 4,311,050.25
  4. Step 4: Simplify right side
    2,105,651.25x = 18,585,154,258,025.06
  5. Step 5: Solve for x
    x = 18,585,154,258,025.06/2,105,651.25
  6. Step 6: Final answer
    x = 8,826,321.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.