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Finding the Third Proportional to 1,206,886.50 and 2,382,972

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Solution

The third proportional to 1,206,886.50 and 2,382,972 is: 4,705,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,886.50 : 2,382,972 = 2,382,972 : x
  2. Step 2: Convert to fraction form
    1,206,886.50/2,382,972 = 2,382,972/x
  3. Step 3: Cross multiply
    1,206,886.50x = 2,382,972 × 2,382,972
  4. Step 4: Simplify right side
    1,206,886.50x = 5,678,555,552,784
  5. Step 5: Solve for x
    x = 5,678,555,552,784/1,206,886.50
  6. Step 6: Final answer
    x = 4,705,128.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.