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Finding the Third Proportional to 465,976 and 993,008

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Solution

The third proportional to 465,976 and 993,008 is: 2,116,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,976 : 993,008 = 993,008 : x
  2. Step 2: Convert to fraction form
    465,976/993,008 = 993,008/x
  3. Step 3: Cross multiply
    465,976x = 993,008 × 993,008
  4. Step 4: Simplify right side
    465,976x = 986,064,888,064
  5. Step 5: Solve for x
    x = 986,064,888,064/465,976
  6. Step 6: Final answer
    x = 2,116,128.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.