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Finding the Third Proportional to 729,404 and 1,104,174

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Solution

The third proportional to 729,404 and 1,104,174 is: 1,671,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,404 : 1,104,174 = 1,104,174 : x
  2. Step 2: Convert to fraction form
    729,404/1,104,174 = 1,104,174/x
  3. Step 3: Cross multiply
    729,404x = 1,104,174 × 1,104,174
  4. Step 4: Simplify right side
    729,404x = 1,219,200,222,276
  5. Step 5: Solve for x
    x = 1,219,200,222,276/729,404
  6. Step 6: Final answer
    x = 1,671,501.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.