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Finding the Third Proportional to 781,305.75 and 1,584,344.81

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Solution

The third proportional to 781,305.75 and 1,584,344.81 is: 3,212,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,305.75 : 1,584,344.81 = 1,584,344.81 : x
  2. Step 2: Convert to fraction form
    781,305.75/1,584,344.81 = 1,584,344.81/x
  3. Step 3: Cross multiply
    781,305.75x = 1,584,344.81 × 1,584,344.81
  4. Step 4: Simplify right side
    781,305.75x = 2,510,148,484,895.66
  5. Step 5: Solve for x
    x = 2,510,148,484,895.66/781,305.75
  6. Step 6: Final answer
    x = 3,212,760.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.