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Finding the Third Proportional to 460,106 and 1,003,866

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Solution

The third proportional to 460,106 and 1,003,866 is: 2,190,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,106 : 1,003,866 = 1,003,866 : x
  2. Step 2: Convert to fraction form
    460,106/1,003,866 = 1,003,866/x
  3. Step 3: Cross multiply
    460,106x = 1,003,866 × 1,003,866
  4. Step 4: Simplify right side
    460,106x = 1,007,746,945,956
  5. Step 5: Solve for x
    x = 1,007,746,945,956/460,106
  6. Step 6: Final answer
    x = 2,190,249.52

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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.