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Finding the Third Proportional to 647,971 and 1,337,345

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Solution

The third proportional to 647,971 and 1,337,345 is: 2,760,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,971 : 1,337,345 = 1,337,345 : x
  2. Step 2: Convert to fraction form
    647,971/1,337,345 = 1,337,345/x
  3. Step 3: Cross multiply
    647,971x = 1,337,345 × 1,337,345
  4. Step 4: Simplify right side
    647,971x = 1,788,491,649,025
  5. Step 5: Solve for x
    x = 1,788,491,649,025/647,971
  6. Step 6: Final answer
    x = 2,760,141.50

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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.