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Finding the Third Proportional to 766,216 and 1,155,155

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Solution

The third proportional to 766,216 and 1,155,155 is: 1,741,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,216 : 1,155,155 = 1,155,155 : x
  2. Step 2: Convert to fraction form
    766,216/1,155,155 = 1,155,155/x
  3. Step 3: Cross multiply
    766,216x = 1,155,155 × 1,155,155
  4. Step 4: Simplify right side
    766,216x = 1,334,383,074,025
  5. Step 5: Solve for x
    x = 1,334,383,074,025/766,216
  6. Step 6: Final answer
    x = 1,741,523.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.