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Finding the Third Proportional to 639,005 and 1,367,774

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Solution

The third proportional to 639,005 and 1,367,774 is: 2,927,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,005 : 1,367,774 = 1,367,774 : x
  2. Step 2: Convert to fraction form
    639,005/1,367,774 = 1,367,774/x
  3. Step 3: Cross multiply
    639,005x = 1,367,774 × 1,367,774
  4. Step 4: Simplify right side
    639,005x = 1,870,805,715,076
  5. Step 5: Solve for x
    x = 1,870,805,715,076/639,005
  6. Step 6: Final answer
    x = 2,927,685.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.