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Finding the Third Proportional to 854,910 and 1,824,237

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Solution

The third proportional to 854,910 and 1,824,237 is: 3,892,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,910 : 1,824,237 = 1,824,237 : x
  2. Step 2: Convert to fraction form
    854,910/1,824,237 = 1,824,237/x
  3. Step 3: Cross multiply
    854,910x = 1,824,237 × 1,824,237
  4. Step 4: Simplify right side
    854,910x = 3,327,840,632,169
  5. Step 5: Solve for x
    x = 3,327,840,632,169/854,910
  6. Step 6: Final answer
    x = 3,892,621.02

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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.