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Finding the Third Proportional to 1,632,786.19 and 2,283,719.06

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Solution

The third proportional to 1,632,786.19 and 2,283,719.06 is: 3,194,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,786.19 : 2,283,719.06 = 2,283,719.06 : x
  2. Step 2: Convert to fraction form
    1,632,786.19/2,283,719.06 = 2,283,719.06/x
  3. Step 3: Cross multiply
    1,632,786.19x = 2,283,719.06 × 2,283,719.06
  4. Step 4: Simplify right side
    1,632,786.19x = 5,215,372,756,425.88
  5. Step 5: Solve for x
    x = 5,215,372,756,425.88/1,632,786.19
  6. Step 6: Final answer
    x = 3,194,155.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.