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Finding the Third Proportional to 605,120 and 1,321,032

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Solution

The third proportional to 605,120 and 1,321,032 is: 2,883,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,120 : 1,321,032 = 1,321,032 : x
  2. Step 2: Convert to fraction form
    605,120/1,321,032 = 1,321,032/x
  3. Step 3: Cross multiply
    605,120x = 1,321,032 × 1,321,032
  4. Step 4: Simplify right side
    605,120x = 1,745,125,545,024
  5. Step 5: Solve for x
    x = 1,745,125,545,024/605,120
  6. Step 6: Final answer
    x = 2,883,933.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.