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Finding the Third Proportional to 374,186 and 827,122

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Solution

The third proportional to 374,186 and 827,122 is: 1,828,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,186 : 827,122 = 827,122 : x
  2. Step 2: Convert to fraction form
    374,186/827,122 = 827,122/x
  3. Step 3: Cross multiply
    374,186x = 827,122 × 827,122
  4. Step 4: Simplify right side
    374,186x = 684,130,802,884
  5. Step 5: Solve for x
    x = 684,130,802,884/374,186
  6. Step 6: Final answer
    x = 1,828,317.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.