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Finding the Third Proportional to 854,970 and 1,334,214

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Solution

The third proportional to 854,970 and 1,334,214 is: 2,082,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,970 : 1,334,214 = 1,334,214 : x
  2. Step 2: Convert to fraction form
    854,970/1,334,214 = 1,334,214/x
  3. Step 3: Cross multiply
    854,970x = 1,334,214 × 1,334,214
  4. Step 4: Simplify right side
    854,970x = 1,780,126,997,796
  5. Step 5: Solve for x
    x = 1,780,126,997,796/854,970
  6. Step 6: Final answer
    x = 2,082,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.