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Finding the Third Proportional to 680,264 and 1,483,004

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Solution

The third proportional to 680,264 and 1,483,004 is: 3,233,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264 : 1,483,004 = 1,483,004 : x
  2. Step 2: Convert to fraction form
    680,264/1,483,004 = 1,483,004/x
  3. Step 3: Cross multiply
    680,264x = 1,483,004 × 1,483,004
  4. Step 4: Simplify right side
    680,264x = 2,199,300,864,016
  5. Step 5: Solve for x
    x = 2,199,300,864,016/680,264
  6. Step 6: Final answer
    x = 3,233,010.81

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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.