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Finding the Third Proportional to 2,054,184.75 and 3,205,633.50

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Solution

The third proportional to 2,054,184.75 and 3,205,633.50 is: 5,002,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054,184.75 : 3,205,633.50 = 3,205,633.50 : x
  2. Step 2: Convert to fraction form
    2,054,184.75/3,205,633.50 = 3,205,633.50/x
  3. Step 3: Cross multiply
    2,054,184.75x = 3,205,633.50 × 3,205,633.50
  4. Step 4: Simplify right side
    2,054,184.75x = 10,276,086,136,322.25
  5. Step 5: Solve for x
    x = 10,276,086,136,322.25/2,054,184.75
  6. Step 6: Final answer
    x = 5,002,513.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.