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Finding the Third Proportional to 2,208,529 and 4,671,694.25

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Solution

The third proportional to 2,208,529 and 4,671,694.25 is: 9,882,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208,529 : 4,671,694.25 = 4,671,694.25 : x
  2. Step 2: Convert to fraction form
    2,208,529/4,671,694.25 = 4,671,694.25/x
  3. Step 3: Cross multiply
    2,208,529x = 4,671,694.25 × 4,671,694.25
  4. Step 4: Simplify right side
    2,208,529x = 21,824,727,165,483.06
  5. Step 5: Solve for x
    x = 21,824,727,165,483.06/2,208,529
  6. Step 6: Final answer
    x = 9,882,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.