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Finding the Third Proportional to 460,092 and 1,003,837

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Solution

The third proportional to 460,092 and 1,003,837 is: 2,190,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,092 : 1,003,837 = 1,003,837 : x
  2. Step 2: Convert to fraction form
    460,092/1,003,837 = 1,003,837/x
  3. Step 3: Cross multiply
    460,092x = 1,003,837 × 1,003,837
  4. Step 4: Simplify right side
    460,092x = 1,007,688,722,569
  5. Step 5: Solve for x
    x = 1,007,688,722,569/460,092
  6. Step 6: Final answer
    x = 2,190,189.62

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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.