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Finding the Third Proportional to 1,686,631.99 and 3,642,562.41

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Solution

The third proportional to 1,686,631.99 and 3,642,562.41 is: 7,866,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,631.99 : 3,642,562.41 = 3,642,562.41 : x
  2. Step 2: Convert to fraction form
    1,686,631.99/3,642,562.41 = 3,642,562.41/x
  3. Step 3: Cross multiply
    1,686,631.99x = 3,642,562.41 × 3,642,562.41
  4. Step 4: Simplify right side
    1,686,631.99x = 13,268,260,883,425.79
  5. Step 5: Solve for x
    x = 13,268,260,883,425.79/1,686,631.99
  6. Step 6: Final answer
    x = 7,866,719.56

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