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Finding the Third Proportional to 831,600 and 1,264,896

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Solution

The third proportional to 831,600 and 1,264,896 is: 1,923,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,600 : 1,264,896 = 1,264,896 : x
  2. Step 2: Convert to fraction form
    831,600/1,264,896 = 1,264,896/x
  3. Step 3: Cross multiply
    831,600x = 1,264,896 × 1,264,896
  4. Step 4: Simplify right side
    831,600x = 1,599,961,890,816
  5. Step 5: Solve for x
    x = 1,599,961,890,816/831,600
  6. Step 6: Final answer
    x = 1,923,956.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.