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Finding the Third Proportional to 1,211,827.92 and 1,842,920.86

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Solution

The third proportional to 1,211,827.92 and 1,842,920.86 is: 2,802,672.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,827.92 : 1,842,920.86 = 1,842,920.86 : x
  2. Step 2: Convert to fraction form
    1,211,827.92/1,842,920.86 = 1,842,920.86/x
  3. Step 3: Cross multiply
    1,211,827.92x = 1,842,920.86 × 1,842,920.86
  4. Step 4: Simplify right side
    1,211,827.92x = 3,396,357,293,919.49
  5. Step 5: Solve for x
    x = 3,396,357,293,919.49/1,211,827.92
  6. Step 6: Final answer
    x = 2,802,672.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.