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Finding the Third Proportional to 741,335 and 1,627,013

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Solution

The third proportional to 741,335 and 1,627,013 is: 3,570,816.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,335 : 1,627,013 = 1,627,013 : x
  2. Step 2: Convert to fraction form
    741,335/1,627,013 = 1,627,013/x
  3. Step 3: Cross multiply
    741,335x = 1,627,013 × 1,627,013
  4. Step 4: Simplify right side
    741,335x = 2,647,171,302,169
  5. Step 5: Solve for x
    x = 2,647,171,302,169/741,335
  6. Step 6: Final answer
    x = 3,570,816.57

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Why These Related Problems?

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