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Finding the Third Proportional to 854,939 and 1,334,167.50

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Solution

The third proportional to 854,939 and 1,334,167.50 is: 2,082,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,939 : 1,334,167.50 = 1,334,167.50 : x
  2. Step 2: Convert to fraction form
    854,939/1,334,167.50 = 1,334,167.50/x
  3. Step 3: Cross multiply
    854,939x = 1,334,167.50 × 1,334,167.50
  4. Step 4: Simplify right side
    854,939x = 1,780,002,918,056.25
  5. Step 5: Solve for x
    x = 1,780,002,918,056.25/854,939
  6. Step 6: Final answer
    x = 2,082,023.30

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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.