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Finding the Third Proportional to 1,253,569.50 and 2,706,642

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Solution

The third proportional to 1,253,569.50 and 2,706,642 is: 5,844,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,569.50 : 2,706,642 = 2,706,642 : x
  2. Step 2: Convert to fraction form
    1,253,569.50/2,706,642 = 2,706,642/x
  3. Step 3: Cross multiply
    1,253,569.50x = 2,706,642 × 2,706,642
  4. Step 4: Simplify right side
    1,253,569.50x = 7,325,910,916,164
  5. Step 5: Solve for x
    x = 7,325,910,916,164/1,253,569.50
  6. Step 6: Final answer
    x = 5,844,040.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.