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Finding the Third Proportional to 1,471,033.50 and 3,186,192

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Solution

The third proportional to 1,471,033.50 and 3,186,192 is: 6,901,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,033.50 : 3,186,192 = 3,186,192 : x
  2. Step 2: Convert to fraction form
    1,471,033.50/3,186,192 = 3,186,192/x
  3. Step 3: Cross multiply
    1,471,033.50x = 3,186,192 × 3,186,192
  4. Step 4: Simplify right side
    1,471,033.50x = 10,151,819,460,864
  5. Step 5: Solve for x
    x = 10,151,819,460,864/1,471,033.50
  6. Step 6: Final answer
    x = 6,901,147.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.