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Finding the Third Proportional to 831,719 and 1,253,492

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Solution

The third proportional to 831,719 and 1,253,492 is: 1,889,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,719 : 1,253,492 = 1,253,492 : x
  2. Step 2: Convert to fraction form
    831,719/1,253,492 = 1,253,492/x
  3. Step 3: Cross multiply
    831,719x = 1,253,492 × 1,253,492
  4. Step 4: Simplify right side
    831,719x = 1,571,242,194,064
  5. Step 5: Solve for x
    x = 1,571,242,194,064/831,719
  6. Step 6: Final answer
    x = 1,889,150.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.