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Finding the Third Proportional to 947,904 and 2,079,496

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Solution

The third proportional to 947,904 and 2,079,496 is: 4,561,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,904 : 2,079,496 = 2,079,496 : x
  2. Step 2: Convert to fraction form
    947,904/2,079,496 = 2,079,496/x
  3. Step 3: Cross multiply
    947,904x = 2,079,496 × 2,079,496
  4. Step 4: Simplify right side
    947,904x = 4,324,303,614,016
  5. Step 5: Solve for x
    x = 4,324,303,614,016/947,904
  6. Step 6: Final answer
    x = 4,561,963.67

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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.