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Finding the Third Proportional to 854,085 and 1,309,672.50

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Solution

The third proportional to 854,085 and 1,309,672.50 is: 2,008,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,085 : 1,309,672.50 = 1,309,672.50 : x
  2. Step 2: Convert to fraction form
    854,085/1,309,672.50 = 1,309,672.50/x
  3. Step 3: Cross multiply
    854,085x = 1,309,672.50 × 1,309,672.50
  4. Step 4: Simplify right side
    854,085x = 1,715,242,057,256.25
  5. Step 5: Solve for x
    x = 1,715,242,057,256.25/854,085
  6. Step 6: Final answer
    x = 2,008,280.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.