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Finding the Third Proportional to 854,969 and 1,334,213

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Solution

The third proportional to 854,969 and 1,334,213 is: 2,082,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,969 : 1,334,213 = 1,334,213 : x
  2. Step 2: Convert to fraction form
    854,969/1,334,213 = 1,334,213/x
  3. Step 3: Cross multiply
    854,969x = 1,334,213 × 1,334,213
  4. Step 4: Simplify right side
    854,969x = 1,780,124,329,369
  5. Step 5: Solve for x
    x = 1,780,124,329,369/854,969
  6. Step 6: Final answer
    x = 2,082,092.25

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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.