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Finding the Third Proportional to 400,026,296 and 601,104,660

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Solution

The third proportional to 400,026,296 and 601,104,660 is: 903,257,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,026,296 : 601,104,660 = 601,104,660 : x
  2. Step 2: Convert to fraction form
    400,026,296/601,104,660 = 601,104,660/x
  3. Step 3: Cross multiply
    400,026,296x = 601,104,660 × 601,104,660
  4. Step 4: Simplify right side
    400,026,296x = 361,326,812,273,715,584
  5. Step 5: Solve for x
    x = 361,326,812,273,715,584/400,026,296
  6. Step 6: Final answer
    x = 903,257,650.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.