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Finding the Third Proportional to 854,944 and 1,334,174

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Solution

The third proportional to 854,944 and 1,334,174 is: 2,082,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,944 : 1,334,174 = 1,334,174 : x
  2. Step 2: Convert to fraction form
    854,944/1,334,174 = 1,334,174/x
  3. Step 3: Cross multiply
    854,944x = 1,334,174 × 1,334,174
  4. Step 4: Simplify right side
    854,944x = 1,780,020,262,276
  5. Step 5: Solve for x
    x = 1,780,020,262,276/854,944
  6. Step 6: Final answer
    x = 2,082,031.41

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