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Finding the Third Proportional to 734,769 and 1,113,225

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Solution

The third proportional to 734,769 and 1,113,225 is: 1,686,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,769 : 1,113,225 = 1,113,225 : x
  2. Step 2: Convert to fraction form
    734,769/1,113,225 = 1,113,225/x
  3. Step 3: Cross multiply
    734,769x = 1,113,225 × 1,113,225
  4. Step 4: Simplify right side
    734,769x = 1,239,269,900,625
  5. Step 5: Solve for x
    x = 1,239,269,900,625/734,769
  6. Step 6: Final answer
    x = 1,686,611.58

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.