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Finding the Third Proportional to 397,690,560 and 864,219,456

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Solution

The third proportional to 397,690,560 and 864,219,456 is: 1,878,031,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,690,560 : 864,219,456 = 864,219,456 : x
  2. Step 2: Convert to fraction form
    397,690,560/864,219,456 = 864,219,456/x
  3. Step 3: Cross multiply
    397,690,560x = 864,219,456 × 864,219,456
  4. Step 4: Simplify right side
    397,690,560x = 746,875,268,128,935,936
  5. Step 5: Solve for x
    x = 746,875,268,128,935,936/397,690,560
  6. Step 6: Final answer
    x = 1,878,031,171.09

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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.