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Finding the Third Proportional to 2,969,634 and 4,631,922

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Solution

The third proportional to 2,969,634 and 4,631,922 is: 7,224,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,634 : 4,631,922 = 4,631,922 : x
  2. Step 2: Convert to fraction form
    2,969,634/4,631,922 = 4,631,922/x
  3. Step 3: Cross multiply
    2,969,634x = 4,631,922 × 4,631,922
  4. Step 4: Simplify right side
    2,969,634x = 21,454,701,414,084
  5. Step 5: Solve for x
    x = 21,454,701,414,084/2,969,634
  6. Step 6: Final answer
    x = 7,224,695.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.