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Finding the Third Proportional to 1,109,841 and 1,661,719.50

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Solution

The third proportional to 1,109,841 and 1,661,719.50 is: 2,488,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,841 : 1,661,719.50 = 1,661,719.50 : x
  2. Step 2: Convert to fraction form
    1,109,841/1,661,719.50 = 1,661,719.50/x
  3. Step 3: Cross multiply
    1,109,841x = 1,661,719.50 × 1,661,719.50
  4. Step 4: Simplify right side
    1,109,841x = 2,761,311,696,680.25
  5. Step 5: Solve for x
    x = 2,761,311,696,680.25/1,109,841
  6. Step 6: Final answer
    x = 2,488,024.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.