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Finding the Third Proportional to 460,101 and 1,003,857

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Solution

The third proportional to 460,101 and 1,003,857 is: 2,190,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,101 : 1,003,857 = 1,003,857 : x
  2. Step 2: Convert to fraction form
    460,101/1,003,857 = 1,003,857/x
  3. Step 3: Cross multiply
    460,101x = 1,003,857 × 1,003,857
  4. Step 4: Simplify right side
    460,101x = 1,007,728,876,449
  5. Step 5: Solve for x
    x = 1,007,728,876,449/460,101
  6. Step 6: Final answer
    x = 2,190,234.05

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Why These Related Problems?

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