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Finding the Third Proportional to 831,874.50 and 1,284,495.75

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Solution

The third proportional to 831,874.50 and 1,284,495.75 is: 1,983,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,874.50 : 1,284,495.75 = 1,284,495.75 : x
  2. Step 2: Convert to fraction form
    831,874.50/1,284,495.75 = 1,284,495.75/x
  3. Step 3: Cross multiply
    831,874.50x = 1,284,495.75 × 1,284,495.75
  4. Step 4: Simplify right side
    831,874.50x = 1,649,929,331,768.06
  5. Step 5: Solve for x
    x = 1,649,929,331,768.06/831,874.50
  6. Step 6: Final answer
    x = 1,983,387.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.