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Finding the Third Proportional to 544,729 and 1,163,573

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Solution

The third proportional to 544,729 and 1,163,573 is: 2,485,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,729 : 1,163,573 = 1,163,573 : x
  2. Step 2: Convert to fraction form
    544,729/1,163,573 = 1,163,573/x
  3. Step 3: Cross multiply
    544,729x = 1,163,573 × 1,163,573
  4. Step 4: Simplify right side
    544,729x = 1,353,902,126,329
  5. Step 5: Solve for x
    x = 1,353,902,126,329/544,729
  6. Step 6: Final answer
    x = 2,485,459.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.