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Finding the Third Proportional to 3,091,680 and 4,906,224

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Solution

The third proportional to 3,091,680 and 4,906,224 is: 7,785,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091,680 : 4,906,224 = 4,906,224 : x
  2. Step 2: Convert to fraction form
    3,091,680/4,906,224 = 4,906,224/x
  3. Step 3: Cross multiply
    3,091,680x = 4,906,224 × 4,906,224
  4. Step 4: Simplify right side
    3,091,680x = 24,071,033,938,176
  5. Step 5: Solve for x
    x = 24,071,033,938,176/3,091,680
  6. Step 6: Final answer
    x = 7,785,745.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.