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Finding the Third Proportional to 547,392 and 1,175,697

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Solution

The third proportional to 547,392 and 1,175,697 is: 2,525,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,392 : 1,175,697 = 1,175,697 : x
  2. Step 2: Convert to fraction form
    547,392/1,175,697 = 1,175,697/x
  3. Step 3: Cross multiply
    547,392x = 1,175,697 × 1,175,697
  4. Step 4: Simplify right side
    547,392x = 1,382,263,435,809
  5. Step 5: Solve for x
    x = 1,382,263,435,809/547,392
  6. Step 6: Final answer
    x = 2,525,180.19

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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.