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Finding the Third Proportional to 488,661 and 1,141,758

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Solution

The third proportional to 488,661 and 1,141,758 is: 2,667,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,661 : 1,141,758 = 1,141,758 : x
  2. Step 2: Convert to fraction form
    488,661/1,141,758 = 1,141,758/x
  3. Step 3: Cross multiply
    488,661x = 1,141,758 × 1,141,758
  4. Step 4: Simplify right side
    488,661x = 1,303,611,330,564
  5. Step 5: Solve for x
    x = 1,303,611,330,564/488,661
  6. Step 6: Final answer
    x = 2,667,721.24

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.