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Finding the Third Proportional to 374,184 and 827,118

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Solution

The third proportional to 374,184 and 827,118 is: 1,828,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,184 : 827,118 = 827,118 : x
  2. Step 2: Convert to fraction form
    374,184/827,118 = 827,118/x
  3. Step 3: Cross multiply
    374,184x = 827,118 × 827,118
  4. Step 4: Simplify right side
    374,184x = 684,124,185,924
  5. Step 5: Solve for x
    x = 684,124,185,924/374,184
  6. Step 6: Final answer
    x = 1,828,309.56

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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.