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Finding the Third Proportional to 409,341,714 and 890,404,269

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Solution

The third proportional to 409,341,714 and 890,404,269 is: 1,936,816,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,341,714 : 890,404,269 = 890,404,269 : x
  2. Step 2: Convert to fraction form
    409,341,714/890,404,269 = 890,404,269/x
  3. Step 3: Cross multiply
    409,341,714x = 890,404,269 × 890,404,269
  4. Step 4: Simplify right side
    409,341,714x = 792,819,762,253,424,384
  5. Step 5: Solve for x
    x = 792,819,762,253,424,384/409,341,714
  6. Step 6: Final answer
    x = 1,936,816,442.44

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.