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Finding the Third Proportional to 831,306 and 1,786,930

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Solution

The third proportional to 831,306 and 1,786,930 is: 3,841,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,306 : 1,786,930 = 1,786,930 : x
  2. Step 2: Convert to fraction form
    831,306/1,786,930 = 1,786,930/x
  3. Step 3: Cross multiply
    831,306x = 1,786,930 × 1,786,930
  4. Step 4: Simplify right side
    831,306x = 3,193,118,824,900
  5. Step 5: Solve for x
    x = 3,193,118,824,900/831,306
  6. Step 6: Final answer
    x = 3,841,087.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.