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Finding the Third Proportional to 540,293 and 1,175,722

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Solution

The third proportional to 540,293 and 1,175,722 is: 2,558,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,293 : 1,175,722 = 1,175,722 : x
  2. Step 2: Convert to fraction form
    540,293/1,175,722 = 1,175,722/x
  3. Step 3: Cross multiply
    540,293x = 1,175,722 × 1,175,722
  4. Step 4: Simplify right side
    540,293x = 1,382,322,221,284
  5. Step 5: Solve for x
    x = 1,382,322,221,284/540,293
  6. Step 6: Final answer
    x = 2,558,467.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.