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Finding the Third Proportional to 986,464.69 and 2,119,784.06

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Solution

The third proportional to 986,464.69 and 2,119,784.06 is: 4,555,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,464.69 : 2,119,784.06 = 2,119,784.06 : x
  2. Step 2: Convert to fraction form
    986,464.69/2,119,784.06 = 2,119,784.06/x
  3. Step 3: Cross multiply
    986,464.69x = 2,119,784.06 × 2,119,784.06
  4. Step 4: Simplify right side
    986,464.69x = 4,493,484,471,629.00
  5. Step 5: Solve for x
    x = 4,493,484,471,629.00/986,464.69
  6. Step 6: Final answer
    x = 4,555,139.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.