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Finding the Third Proportional to 460,866 and 940,029

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Solution

The third proportional to 460,866 and 940,029 is: 1,917,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,866 : 940,029 = 940,029 : x
  2. Step 2: Convert to fraction form
    460,866/940,029 = 940,029/x
  3. Step 3: Cross multiply
    460,866x = 940,029 × 940,029
  4. Step 4: Simplify right side
    460,866x = 883,654,520,841
  5. Step 5: Solve for x
    x = 883,654,520,841/460,866
  6. Step 6: Final answer
    x = 1,917,378.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.