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Finding the Third Proportional to 609,012 and 1,311,336

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Solution

The third proportional to 609,012 and 1,311,336 is: 2,823,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,012 : 1,311,336 = 1,311,336 : x
  2. Step 2: Convert to fraction form
    609,012/1,311,336 = 1,311,336/x
  3. Step 3: Cross multiply
    609,012x = 1,311,336 × 1,311,336
  4. Step 4: Simplify right side
    609,012x = 1,719,602,104,896
  5. Step 5: Solve for x
    x = 1,719,602,104,896/609,012
  6. Step 6: Final answer
    x = 2,823,593.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.