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Finding the Third Proportional to 647,820 and 1,337,136

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Solution

The third proportional to 647,820 and 1,337,136 is: 2,759,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,820 : 1,337,136 = 1,337,136 : x
  2. Step 2: Convert to fraction form
    647,820/1,337,136 = 1,337,136/x
  3. Step 3: Cross multiply
    647,820x = 1,337,136 × 1,337,136
  4. Step 4: Simplify right side
    647,820x = 1,787,932,682,496
  5. Step 5: Solve for x
    x = 1,787,932,682,496/647,820
  6. Step 6: Final answer
    x = 2,759,922.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.