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Finding the Third Proportional to 1,071,906.75 and 2,353,785.75

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Solution

The third proportional to 1,071,906.75 and 2,353,785.75 is: 5,168,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,906.75 : 2,353,785.75 = 2,353,785.75 : x
  2. Step 2: Convert to fraction form
    1,071,906.75/2,353,785.75 = 2,353,785.75/x
  3. Step 3: Cross multiply
    1,071,906.75x = 2,353,785.75 × 2,353,785.75
  4. Step 4: Simplify right side
    1,071,906.75x = 5,540,307,356,903.06
  5. Step 5: Solve for x
    x = 5,540,307,356,903.06/1,071,906.75
  6. Step 6: Final answer
    x = 5,168,646.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.