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Finding the Third Proportional to 540,302 and 1,175,738

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Solution

The third proportional to 540,302 and 1,175,738 is: 2,558,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,302 : 1,175,738 = 1,175,738 : x
  2. Step 2: Convert to fraction form
    540,302/1,175,738 = 1,175,738/x
  3. Step 3: Cross multiply
    540,302x = 1,175,738 × 1,175,738
  4. Step 4: Simplify right side
    540,302x = 1,382,359,844,644
  5. Step 5: Solve for x
    x = 1,382,359,844,644/540,302
  6. Step 6: Final answer
    x = 2,558,494.78

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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.