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Finding the Third Proportional to 647,834 and 1,337,164

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Solution

The third proportional to 647,834 and 1,337,164 is: 2,759,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,834 : 1,337,164 = 1,337,164 : x
  2. Step 2: Convert to fraction form
    647,834/1,337,164 = 1,337,164/x
  3. Step 3: Cross multiply
    647,834x = 1,337,164 × 1,337,164
  4. Step 4: Simplify right side
    647,834x = 1,788,007,562,896
  5. Step 5: Solve for x
    x = 1,788,007,562,896/647,834
  6. Step 6: Final answer
    x = 2,759,977.96

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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.