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Finding the Third Proportional to 663,738 and 1,448,004

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Solution

The third proportional to 663,738 and 1,448,004 is: 3,158,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,738 : 1,448,004 = 1,448,004 : x
  2. Step 2: Convert to fraction form
    663,738/1,448,004 = 1,448,004/x
  3. Step 3: Cross multiply
    663,738x = 1,448,004 × 1,448,004
  4. Step 4: Simplify right side
    663,738x = 2,096,715,584,016
  5. Step 5: Solve for x
    x = 2,096,715,584,016/663,738
  6. Step 6: Final answer
    x = 3,158,950.65

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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.