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Finding the Third Proportional to 1,997,791.50 and 4,314,799.50

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Solution

The third proportional to 1,997,791.50 and 4,314,799.50 is: 9,319,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997,791.50 : 4,314,799.50 = 4,314,799.50 : x
  2. Step 2: Convert to fraction form
    1,997,791.50/4,314,799.50 = 4,314,799.50/x
  3. Step 3: Cross multiply
    1,997,791.50x = 4,314,799.50 × 4,314,799.50
  4. Step 4: Simplify right side
    1,997,791.50x = 18,617,494,725,200.25
  5. Step 5: Solve for x
    x = 18,617,494,725,200.25/1,997,791.50
  6. Step 6: Final answer
    x = 9,319,037.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.