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Finding the Third Proportional to 817,182 and 1,268,274

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Solution

The third proportional to 817,182 and 1,268,274 is: 1,968,372.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,182 : 1,268,274 = 1,268,274 : x
  2. Step 2: Convert to fraction form
    817,182/1,268,274 = 1,268,274/x
  3. Step 3: Cross multiply
    817,182x = 1,268,274 × 1,268,274
  4. Step 4: Simplify right side
    817,182x = 1,608,518,939,076
  5. Step 5: Solve for x
    x = 1,608,518,939,076/817,182
  6. Step 6: Final answer
    x = 1,968,372.94

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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.