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Finding the Third Proportional to 2,049,745.08 and 4,485,617.16

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Solution

The third proportional to 2,049,745.08 and 4,485,617.16 is: 9,816,226.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,745.08 : 4,485,617.16 = 4,485,617.16 : x
  2. Step 2: Convert to fraction form
    2,049,745.08/4,485,617.16 = 4,485,617.16/x
  3. Step 3: Cross multiply
    2,049,745.08x = 4,485,617.16 × 4,485,617.16
  4. Step 4: Simplify right side
    2,049,745.08x = 20,120,761,272,444.34
  5. Step 5: Solve for x
    x = 20,120,761,272,444.34/2,049,745.08
  6. Step 6: Final answer
    x = 9,816,226.17

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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.