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Finding the Third Proportional to 1,211,827.08 and 1,842,919.59

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Solution

The third proportional to 1,211,827.08 and 1,842,919.59 is: 2,802,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,827.08 : 1,842,919.59 = 1,842,919.59 : x
  2. Step 2: Convert to fraction form
    1,211,827.08/1,842,919.59 = 1,842,919.59/x
  3. Step 3: Cross multiply
    1,211,827.08x = 1,842,919.59 × 1,842,919.59
  4. Step 4: Simplify right side
    1,211,827.08x = 3,396,352,629,027.67
  5. Step 5: Solve for x
    x = 3,396,352,629,027.67/1,211,827.08
  6. Step 6: Final answer
    x = 2,802,671.02

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Why These Related Problems?

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