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Finding the Third Proportional to 811,472 and 1,762,912

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Solution

The third proportional to 811,472 and 1,762,912 is: 3,829,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,472 : 1,762,912 = 1,762,912 : x
  2. Step 2: Convert to fraction form
    811,472/1,762,912 = 1,762,912/x
  3. Step 3: Cross multiply
    811,472x = 1,762,912 × 1,762,912
  4. Step 4: Simplify right side
    811,472x = 3,107,858,719,744
  5. Step 5: Solve for x
    x = 3,107,858,719,744/811,472
  6. Step 6: Final answer
    x = 3,829,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.