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Finding the Third Proportional to 2,036,223.75 and 2,992,005.75

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Solution

The third proportional to 2,036,223.75 and 2,992,005.75 is: 4,396,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,223.75 : 2,992,005.75 = 2,992,005.75 : x
  2. Step 2: Convert to fraction form
    2,036,223.75/2,992,005.75 = 2,992,005.75/x
  3. Step 3: Cross multiply
    2,036,223.75x = 2,992,005.75 × 2,992,005.75
  4. Step 4: Simplify right side
    2,036,223.75x = 8,952,098,408,033.06
  5. Step 5: Solve for x
    x = 8,952,098,408,033.06/2,036,223.75
  6. Step 6: Final answer
    x = 4,396,421.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.