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Finding the Third Proportional to 540,324 and 1,175,782

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Solution

The third proportional to 540,324 and 1,175,782 is: 2,558,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,324 : 1,175,782 = 1,175,782 : x
  2. Step 2: Convert to fraction form
    540,324/1,175,782 = 1,175,782/x
  3. Step 3: Cross multiply
    540,324x = 1,175,782 × 1,175,782
  4. Step 4: Simplify right side
    540,324x = 1,382,463,311,524
  5. Step 5: Solve for x
    x = 1,382,463,311,524/540,324
  6. Step 6: Final answer
    x = 2,558,582.09

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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.