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Finding the Third Proportional to 2,234,965 and 4,827,163

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Solution

The third proportional to 2,234,965 and 4,827,163 is: 10,425,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,965 : 4,827,163 = 4,827,163 : x
  2. Step 2: Convert to fraction form
    2,234,965/4,827,163 = 4,827,163/x
  3. Step 3: Cross multiply
    2,234,965x = 4,827,163 × 4,827,163
  4. Step 4: Simplify right side
    2,234,965x = 23,301,502,628,569
  5. Step 5: Solve for x
    x = 23,301,502,628,569/2,234,965
  6. Step 6: Final answer
    x = 10,425,891.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.