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Finding the Third Proportional to 811,400,724 and 1,217,267,325

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Solution

The third proportional to 811,400,724 and 1,217,267,325 is: 1,826,150,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,400,724 : 1,217,267,325 = 1,217,267,325 : x
  2. Step 2: Convert to fraction form
    811,400,724/1,217,267,325 = 1,217,267,325/x
  3. Step 3: Cross multiply
    811,400,724x = 1,217,267,325 × 1,217,267,325
  4. Step 4: Simplify right side
    811,400,724x = 1,481,739,740,512,655,616
  5. Step 5: Solve for x
    x = 1,481,739,740,512,655,616/811,400,724
  6. Step 6: Final answer
    x = 1,826,150,380.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.