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Finding the Third Proportional to 2,164,005 and 3,377,023.50

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Solution

The third proportional to 2,164,005 and 3,377,023.50 is: 5,269,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,005 : 3,377,023.50 = 3,377,023.50 : x
  2. Step 2: Convert to fraction form
    2,164,005/3,377,023.50 = 3,377,023.50/x
  3. Step 3: Cross multiply
    2,164,005x = 3,377,023.50 × 3,377,023.50
  4. Step 4: Simplify right side
    2,164,005x = 11,404,287,719,552.25
  5. Step 5: Solve for x
    x = 11,404,287,719,552.25/2,164,005
  6. Step 6: Final answer
    x = 5,269,991.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.