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Finding the Third Proportional to 647,830 and 1,337,156

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Solution

The third proportional to 647,830 and 1,337,156 is: 2,759,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,830 : 1,337,156 = 1,337,156 : x
  2. Step 2: Convert to fraction form
    647,830/1,337,156 = 1,337,156/x
  3. Step 3: Cross multiply
    647,830x = 1,337,156 × 1,337,156
  4. Step 4: Simplify right side
    647,830x = 1,787,986,168,336
  5. Step 5: Solve for x
    x = 1,787,986,168,336/647,830
  6. Step 6: Final answer
    x = 2,759,961.98

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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.