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Finding the Third Proportional to 3,785,874 and 8,210,520

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Solution

The third proportional to 3,785,874 and 8,210,520 is: 17,806,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,874 : 8,210,520 = 8,210,520 : x
  2. Step 2: Convert to fraction form
    3,785,874/8,210,520 = 8,210,520/x
  3. Step 3: Cross multiply
    3,785,874x = 8,210,520 × 8,210,520
  4. Step 4: Simplify right side
    3,785,874x = 67,412,638,670,400
  5. Step 5: Solve for x
    x = 67,412,638,670,400/3,785,874
  6. Step 6: Final answer
    x = 17,806,360.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.