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Finding the Third Proportional to 609,196.50 and 1,320,088.50

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Solution

The third proportional to 609,196.50 and 1,320,088.50 is: 2,860,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,196.50 : 1,320,088.50 = 1,320,088.50 : x
  2. Step 2: Convert to fraction form
    609,196.50/1,320,088.50 = 1,320,088.50/x
  3. Step 3: Cross multiply
    609,196.50x = 1,320,088.50 × 1,320,088.50
  4. Step 4: Simplify right side
    609,196.50x = 1,742,633,647,832.25
  5. Step 5: Solve for x
    x = 1,742,633,647,832.25/609,196.50
  6. Step 6: Final answer
    x = 2,860,544.42

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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.