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Finding the Third Proportional to 854,937 and 1,824,291

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Solution

The third proportional to 854,937 and 1,824,291 is: 3,892,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,937 : 1,824,291 = 1,824,291 : x
  2. Step 2: Convert to fraction form
    854,937/1,824,291 = 1,824,291/x
  3. Step 3: Cross multiply
    854,937x = 1,824,291 × 1,824,291
  4. Step 4: Simplify right side
    854,937x = 3,328,037,652,681
  5. Step 5: Solve for x
    x = 3,328,037,652,681/854,937
  6. Step 6: Final answer
    x = 3,892,728.53

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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.