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Finding the Third Proportional to 831,744 and 1,253,532

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Solution

The third proportional to 831,744 and 1,253,532 is: 1,889,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,744 : 1,253,532 = 1,253,532 : x
  2. Step 2: Convert to fraction form
    831,744/1,253,532 = 1,253,532/x
  3. Step 3: Cross multiply
    831,744x = 1,253,532 × 1,253,532
  4. Step 4: Simplify right side
    831,744x = 1,571,342,475,024
  5. Step 5: Solve for x
    x = 1,571,342,475,024/831,744
  6. Step 6: Final answer
    x = 1,889,214.08

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Why These Related Problems?

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