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Finding the Third Proportional to 1,115,005.50 and 1,772,199

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Solution

The third proportional to 1,115,005.50 and 1,772,199 is: 2,816,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,005.50 : 1,772,199 = 1,772,199 : x
  2. Step 2: Convert to fraction form
    1,115,005.50/1,772,199 = 1,772,199/x
  3. Step 3: Cross multiply
    1,115,005.50x = 1,772,199 × 1,772,199
  4. Step 4: Simplify right side
    1,115,005.50x = 3,140,689,295,601
  5. Step 5: Solve for x
    x = 3,140,689,295,601/1,115,005.50
  6. Step 6: Final answer
    x = 2,816,747.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.