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Finding the Third Proportional to 729,501 and 1,091,334

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Solution

The third proportional to 729,501 and 1,091,334 is: 1,632,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,501 : 1,091,334 = 1,091,334 : x
  2. Step 2: Convert to fraction form
    729,501/1,091,334 = 1,091,334/x
  3. Step 3: Cross multiply
    729,501x = 1,091,334 × 1,091,334
  4. Step 4: Simplify right side
    729,501x = 1,191,009,899,556
  5. Step 5: Solve for x
    x = 1,191,009,899,556/729,501
  6. Step 6: Final answer
    x = 1,632,636.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.