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Finding the Third Proportional to 374,226 and 820,210

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Solution

The third proportional to 374,226 and 820,210 is: 1,797,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,226 : 820,210 = 820,210 : x
  2. Step 2: Convert to fraction form
    374,226/820,210 = 820,210/x
  3. Step 3: Cross multiply
    374,226x = 820,210 × 820,210
  4. Step 4: Simplify right side
    374,226x = 672,744,444,100
  5. Step 5: Solve for x
    x = 672,744,444,100/374,226
  6. Step 6: Final answer
    x = 1,797,695.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.