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Finding the Third Proportional to 540,396 and 1,175,928

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Solution

The third proportional to 540,396 and 1,175,928 is: 2,558,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,396 : 1,175,928 = 1,175,928 : x
  2. Step 2: Convert to fraction form
    540,396/1,175,928 = 1,175,928/x
  3. Step 3: Cross multiply
    540,396x = 1,175,928 × 1,175,928
  4. Step 4: Simplify right side
    540,396x = 1,382,806,661,184
  5. Step 5: Solve for x
    x = 1,382,806,661,184/540,396
  6. Step 6: Final answer
    x = 2,558,876.57

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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.