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Finding the Third Proportional to 817,173 and 1,268,262

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Solution

The third proportional to 817,173 and 1,268,262 is: 1,968,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,173 : 1,268,262 = 1,268,262 : x
  2. Step 2: Convert to fraction form
    817,173/1,268,262 = 1,268,262/x
  3. Step 3: Cross multiply
    817,173x = 1,268,262 × 1,268,262
  4. Step 4: Simplify right side
    817,173x = 1,608,488,500,644
  5. Step 5: Solve for x
    x = 1,608,488,500,644/817,173
  6. Step 6: Final answer
    x = 1,968,357.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.