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Finding the Third Proportional to 1,110,919.50 and 1,659,112.50

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Solution

The third proportional to 1,110,919.50 and 1,659,112.50 is: 2,477,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,919.50 : 1,659,112.50 = 1,659,112.50 : x
  2. Step 2: Convert to fraction form
    1,110,919.50/1,659,112.50 = 1,659,112.50/x
  3. Step 3: Cross multiply
    1,110,919.50x = 1,659,112.50 × 1,659,112.50
  4. Step 4: Simplify right side
    1,110,919.50x = 2,752,654,287,656.25
  5. Step 5: Solve for x
    x = 2,752,654,287,656.25/1,110,919.50
  6. Step 6: Final answer
    x = 2,477,816.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.