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Finding the Third Proportional to 2,150,280 and 4,619,305.13

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Solution

The third proportional to 2,150,280 and 4,619,305.13 is: 9,923,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150,280 : 4,619,305.13 = 4,619,305.13 : x
  2. Step 2: Convert to fraction form
    2,150,280/4,619,305.13 = 4,619,305.13/x
  3. Step 3: Cross multiply
    2,150,280x = 4,619,305.13 × 4,619,305.13
  4. Step 4: Simplify right side
    2,150,280x = 21,337,979,837,851.27
  5. Step 5: Solve for x
    x = 21,337,979,837,851.27/2,150,280
  6. Step 6: Final answer
    x = 9,923,349.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.