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Finding the Third Proportional to 2,271,300.75 and 4,899,219.19

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Solution

The third proportional to 2,271,300.75 and 4,899,219.19 is: 10,567,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,300.75 : 4,899,219.19 = 4,899,219.19 : x
  2. Step 2: Convert to fraction form
    2,271,300.75/4,899,219.19 = 4,899,219.19/x
  3. Step 3: Cross multiply
    2,271,300.75x = 4,899,219.19 × 4,899,219.19
  4. Step 4: Simplify right side
    2,271,300.75x = 24,002,348,647,168.16
  5. Step 5: Solve for x
    x = 24,002,348,647,168.16/2,271,300.75
  6. Step 6: Final answer
    x = 10,567,666.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.