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Finding the Third Proportional to 2,002,564 and 4,147,004

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Solution

The third proportional to 2,002,564 and 4,147,004 is: 8,587,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,564 : 4,147,004 = 4,147,004 : x
  2. Step 2: Convert to fraction form
    2,002,564/4,147,004 = 4,147,004/x
  3. Step 3: Cross multiply
    2,002,564x = 4,147,004 × 4,147,004
  4. Step 4: Simplify right side
    2,002,564x = 17,197,642,176,016
  5. Step 5: Solve for x
    x = 17,197,642,176,016/2,002,564
  6. Step 6: Final answer
    x = 8,587,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.