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Finding the Third Proportional to 701,230 and 1,535,469

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Solution

The third proportional to 701,230 and 1,535,469 is: 3,362,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,230 : 1,535,469 = 1,535,469 : x
  2. Step 2: Convert to fraction form
    701,230/1,535,469 = 1,535,469/x
  3. Step 3: Cross multiply
    701,230x = 1,535,469 × 1,535,469
  4. Step 4: Simplify right side
    701,230x = 2,357,665,049,961
  5. Step 5: Solve for x
    x = 2,357,665,049,961/701,230
  6. Step 6: Final answer
    x = 3,362,185.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.