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Finding the Third Proportional to 694,018.50 and 1,671,918.56

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Solution

The third proportional to 694,018.50 and 1,671,918.56 is: 4,027,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,018.50 : 1,671,918.56 = 1,671,918.56 : x
  2. Step 2: Convert to fraction form
    694,018.50/1,671,918.56 = 1,671,918.56/x
  3. Step 3: Cross multiply
    694,018.50x = 1,671,918.56 × 1,671,918.56
  4. Step 4: Simplify right side
    694,018.50x = 2,795,311,679,632.07
  5. Step 5: Solve for x
    x = 2,795,311,679,632.07/694,018.50
  6. Step 6: Final answer
    x = 4,027,719.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.