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Finding the Third Proportional to 972,308.81 and 1,471,879.69

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Solution

The third proportional to 972,308.81 and 1,471,879.69 is: 2,228,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,308.81 : 1,471,879.69 = 1,471,879.69 : x
  2. Step 2: Convert to fraction form
    972,308.81/1,471,879.69 = 1,471,879.69/x
  3. Step 3: Cross multiply
    972,308.81x = 1,471,879.69 × 1,471,879.69
  4. Step 4: Simplify right side
    972,308.81x = 2,166,429,814,475.10
  5. Step 5: Solve for x
    x = 2,166,429,814,475.10/972,308.81
  6. Step 6: Final answer
    x = 2,228,129.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.