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Finding the Third Proportional to 502,001 and 1,076,794

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Solution

The third proportional to 502,001 and 1,076,794 is: 2,309,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,001 : 1,076,794 = 1,076,794 : x
  2. Step 2: Convert to fraction form
    502,001/1,076,794 = 1,076,794/x
  3. Step 3: Cross multiply
    502,001x = 1,076,794 × 1,076,794
  4. Step 4: Simplify right side
    502,001x = 1,159,485,318,436
  5. Step 5: Solve for x
    x = 1,159,485,318,436/502,001
  6. Step 6: Final answer
    x = 2,309,727.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.