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Finding the Third Proportional to 831,288 and 1,786,896

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Solution

The third proportional to 831,288 and 1,786,896 is: 3,841,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,288 : 1,786,896 = 1,786,896 : x
  2. Step 2: Convert to fraction form
    831,288/1,786,896 = 1,786,896/x
  3. Step 3: Cross multiply
    831,288x = 1,786,896 × 1,786,896
  4. Step 4: Simplify right side
    831,288x = 3,192,997,314,816
  5. Step 5: Solve for x
    x = 3,192,997,314,816/831,288
  6. Step 6: Final answer
    x = 3,841,024.19

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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.