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Finding the Third Proportional to 2,824,222 and 4,310,231

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Solution

The third proportional to 2,824,222 and 4,310,231 is: 6,578,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,222 : 4,310,231 = 4,310,231 : x
  2. Step 2: Convert to fraction form
    2,824,222/4,310,231 = 4,310,231/x
  3. Step 3: Cross multiply
    2,824,222x = 4,310,231 × 4,310,231
  4. Step 4: Simplify right side
    2,824,222x = 18,578,091,273,361
  5. Step 5: Solve for x
    x = 18,578,091,273,361/2,824,222
  6. Step 6: Final answer
    x = 6,578,127.10

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.