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Finding the Third Proportional to 540,244 and 1,172,056

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Solution

The third proportional to 540,244 and 1,172,056 is: 2,542,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,244 : 1,172,056 = 1,172,056 : x
  2. Step 2: Convert to fraction form
    540,244/1,172,056 = 1,172,056/x
  3. Step 3: Cross multiply
    540,244x = 1,172,056 × 1,172,056
  4. Step 4: Simplify right side
    540,244x = 1,373,715,267,136
  5. Step 5: Solve for x
    x = 1,373,715,267,136/540,244
  6. Step 6: Final answer
    x = 2,542,768.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.