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Finding the Third Proportional to 601,056 and 936,049

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Solution

The third proportional to 601,056 and 936,049 is: 1,457,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,056 : 936,049 = 936,049 : x
  2. Step 2: Convert to fraction form
    601,056/936,049 = 936,049/x
  3. Step 3: Cross multiply
    601,056x = 936,049 × 936,049
  4. Step 4: Simplify right side
    601,056x = 876,187,730,401
  5. Step 5: Solve for x
    x = 876,187,730,401/601,056
  6. Step 6: Final answer
    x = 1,457,747.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.