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Finding the Third Proportional to 609,264 and 1,320,216

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Solution

The third proportional to 609,264 and 1,320,216 is: 2,860,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,264 : 1,320,216 = 1,320,216 : x
  2. Step 2: Convert to fraction form
    609,264/1,320,216 = 1,320,216/x
  3. Step 3: Cross multiply
    609,264x = 1,320,216 × 1,320,216
  4. Step 4: Simplify right side
    609,264x = 1,742,970,286,656
  5. Step 5: Solve for x
    x = 1,742,970,286,656/609,264
  6. Step 6: Final answer
    x = 2,860,780.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.