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Finding the Third Proportional to 3,906,319 and 8,569,006

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Solution

The third proportional to 3,906,319 and 8,569,006 is: 18,797,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906,319 : 8,569,006 = 8,569,006 : x
  2. Step 2: Convert to fraction form
    3,906,319/8,569,006 = 8,569,006/x
  3. Step 3: Cross multiply
    3,906,319x = 8,569,006 × 8,569,006
  4. Step 4: Simplify right side
    3,906,319x = 73,427,863,828,036
  5. Step 5: Solve for x
    x = 73,427,863,828,036/3,906,319
  6. Step 6: Final answer
    x = 18,797,201.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.