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Finding the Third Proportional to 915,016 and 1,320,032

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Solution

The third proportional to 915,016 and 1,320,032 is: 1,904,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,016 : 1,320,032 = 1,320,032 : x
  2. Step 2: Convert to fraction form
    915,016/1,320,032 = 1,320,032/x
  3. Step 3: Cross multiply
    915,016x = 1,320,032 × 1,320,032
  4. Step 4: Simplify right side
    915,016x = 1,742,484,481,024
  5. Step 5: Solve for x
    x = 1,742,484,481,024/915,016
  6. Step 6: Final answer
    x = 1,904,321.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.