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Finding the Third Proportional to 2,493,414 and 5,385,456

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Solution

The third proportional to 2,493,414 and 5,385,456 is: 11,631,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493,414 : 5,385,456 = 5,385,456 : x
  2. Step 2: Convert to fraction form
    2,493,414/5,385,456 = 5,385,456/x
  3. Step 3: Cross multiply
    2,493,414x = 5,385,456 × 5,385,456
  4. Step 4: Simplify right side
    2,493,414x = 29,003,136,327,936
  5. Step 5: Solve for x
    x = 29,003,136,327,936/2,493,414
  6. Step 6: Final answer
    x = 11,631,897.60

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