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Finding the Third Proportional to 518,544 and 1,118,016

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Solution

The third proportional to 518,544 and 1,118,016 is: 2,410,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,544 : 1,118,016 = 1,118,016 : x
  2. Step 2: Convert to fraction form
    518,544/1,118,016 = 1,118,016/x
  3. Step 3: Cross multiply
    518,544x = 1,118,016 × 1,118,016
  4. Step 4: Simplify right side
    518,544x = 1,249,959,776,256
  5. Step 5: Solve for x
    x = 1,249,959,776,256/518,544
  6. Step 6: Final answer
    x = 2,410,518.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.