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Finding the Third Proportional to 2,004,135.75 and 4,726,208.25

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Solution

The third proportional to 2,004,135.75 and 4,726,208.25 is: 11,145,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,135.75 : 4,726,208.25 = 4,726,208.25 : x
  2. Step 2: Convert to fraction form
    2,004,135.75/4,726,208.25 = 4,726,208.25/x
  3. Step 3: Cross multiply
    2,004,135.75x = 4,726,208.25 × 4,726,208.25
  4. Step 4: Simplify right side
    2,004,135.75x = 22,337,044,422,368.06
  5. Step 5: Solve for x
    x = 22,337,044,422,368.06/2,004,135.75
  6. Step 6: Final answer
    x = 11,145,474.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.