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Finding the Third Proportional to 2,234,424 and 4,857,648

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Solution

The third proportional to 2,234,424 and 4,857,648 is: 10,560,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,424 : 4,857,648 = 4,857,648 : x
  2. Step 2: Convert to fraction form
    2,234,424/4,857,648 = 4,857,648/x
  3. Step 3: Cross multiply
    2,234,424x = 4,857,648 × 4,857,648
  4. Step 4: Simplify right side
    2,234,424x = 23,596,744,091,904
  5. Step 5: Solve for x
    x = 23,596,744,091,904/2,234,424
  6. Step 6: Final answer
    x = 10,560,548.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.