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Finding the Third Proportional to 831,606 and 1,287,153

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Solution

The third proportional to 831,606 and 1,287,153 is: 1,992,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,606 : 1,287,153 = 1,287,153 : x
  2. Step 2: Convert to fraction form
    831,606/1,287,153 = 1,287,153/x
  3. Step 3: Cross multiply
    831,606x = 1,287,153 × 1,287,153
  4. Step 4: Simplify right side
    831,606x = 1,656,762,845,409
  5. Step 5: Solve for x
    x = 1,656,762,845,409/831,606
  6. Step 6: Final answer
    x = 1,992,244.94

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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.