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Finding the Third Proportional to 664,218 and 1,375,695

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Solution

The third proportional to 664,218 and 1,375,695 is: 2,849,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,218 : 1,375,695 = 1,375,695 : x
  2. Step 2: Convert to fraction form
    664,218/1,375,695 = 1,375,695/x
  3. Step 3: Cross multiply
    664,218x = 1,375,695 × 1,375,695
  4. Step 4: Simplify right side
    664,218x = 1,892,536,733,025
  5. Step 5: Solve for x
    x = 1,892,536,733,025/664,218
  6. Step 6: Final answer
    x = 2,849,270.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.