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Finding the Third Proportional to 2,081,827.50 and 3,105,469.50

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Solution

The third proportional to 2,081,827.50 and 3,105,469.50 is: 4,632,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,827.50 : 3,105,469.50 = 3,105,469.50 : x
  2. Step 2: Convert to fraction form
    2,081,827.50/3,105,469.50 = 3,105,469.50/x
  3. Step 3: Cross multiply
    2,081,827.50x = 3,105,469.50 × 3,105,469.50
  4. Step 4: Simplify right side
    2,081,827.50x = 9,643,940,815,430.25
  5. Step 5: Solve for x
    x = 9,643,940,815,430.25/2,081,827.50
  6. Step 6: Final answer
    x = 4,632,439.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.