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Finding the Third Proportional to 5,871,784 and 8,268,540

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Solution

The third proportional to 5,871,784 and 8,268,540 is: 11,643,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871,784 : 8,268,540 = 8,268,540 : x
  2. Step 2: Convert to fraction form
    5,871,784/8,268,540 = 8,268,540/x
  3. Step 3: Cross multiply
    5,871,784x = 8,268,540 × 8,268,540
  4. Step 4: Simplify right side
    5,871,784x = 68,368,753,731,600
  5. Step 5: Solve for x
    x = 68,368,753,731,600/5,871,784
  6. Step 6: Final answer
    x = 11,643,608.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.