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Finding the Third Proportional to 723,709.69 and 1,061,383.50

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Solution

The third proportional to 723,709.69 and 1,061,383.50 is: 1,556,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,709.69 : 1,061,383.50 = 1,061,383.50 : x
  2. Step 2: Convert to fraction form
    723,709.69/1,061,383.50 = 1,061,383.50/x
  3. Step 3: Cross multiply
    723,709.69x = 1,061,383.50 × 1,061,383.50
  4. Step 4: Simplify right side
    723,709.69x = 1,126,534,934,072.25
  5. Step 5: Solve for x
    x = 1,126,534,934,072.25/723,709.69
  6. Step 6: Final answer
    x = 1,556,611.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.