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Finding the Third Proportional to 605,598 and 1,314,225

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Solution

The third proportional to 605,598 and 1,314,225 is: 2,852,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,598 : 1,314,225 = 1,314,225 : x
  2. Step 2: Convert to fraction form
    605,598/1,314,225 = 1,314,225/x
  3. Step 3: Cross multiply
    605,598x = 1,314,225 × 1,314,225
  4. Step 4: Simplify right side
    605,598x = 1,727,187,350,625
  5. Step 5: Solve for x
    x = 1,727,187,350,625/605,598
  6. Step 6: Final answer
    x = 2,852,036.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.