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Finding the Third Proportional to 829,399.50 and 1,747,291.50

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Solution

The third proportional to 829,399.50 and 1,747,291.50 is: 3,681,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,399.50 : 1,747,291.50 = 1,747,291.50 : x
  2. Step 2: Convert to fraction form
    829,399.50/1,747,291.50 = 1,747,291.50/x
  3. Step 3: Cross multiply
    829,399.50x = 1,747,291.50 × 1,747,291.50
  4. Step 4: Simplify right side
    829,399.50x = 3,053,027,585,972.25
  5. Step 5: Solve for x
    x = 3,053,027,585,972.25/829,399.50
  6. Step 6: Final answer
    x = 3,681,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.