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Finding the Third Proportional to 639,927 and 1,382,480

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Solution

The third proportional to 639,927 and 1,382,480 is: 2,986,670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,927 : 1,382,480 = 1,382,480 : x
  2. Step 2: Convert to fraction form
    639,927/1,382,480 = 1,382,480/x
  3. Step 3: Cross multiply
    639,927x = 1,382,480 × 1,382,480
  4. Step 4: Simplify right side
    639,927x = 1,911,250,950,400
  5. Step 5: Solve for x
    x = 1,911,250,950,400/639,927
  6. Step 6: Final answer
    x = 2,986,670.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.