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Finding the Third Proportional to 831,579 and 1,158,599

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Solution

The third proportional to 831,579 and 1,158,599 is: 1,614,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,579 : 1,158,599 = 1,158,599 : x
  2. Step 2: Convert to fraction form
    831,579/1,158,599 = 1,158,599/x
  3. Step 3: Cross multiply
    831,579x = 1,158,599 × 1,158,599
  4. Step 4: Simplify right side
    831,579x = 1,342,351,642,801
  5. Step 5: Solve for x
    x = 1,342,351,642,801/831,579
  6. Step 6: Final answer
    x = 1,614,220.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.