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Finding the Third Proportional to 460,093 and 1,003,838

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Solution

The third proportional to 460,093 and 1,003,838 is: 2,190,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,093 : 1,003,838 = 1,003,838 : x
  2. Step 2: Convert to fraction form
    460,093/1,003,838 = 1,003,838/x
  3. Step 3: Cross multiply
    460,093x = 1,003,838 × 1,003,838
  4. Step 4: Simplify right side
    460,093x = 1,007,690,730,244
  5. Step 5: Solve for x
    x = 1,007,690,730,244/460,093
  6. Step 6: Final answer
    x = 2,190,189.22

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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.