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Finding the Third Proportional to 662,834 and 937,011

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Solution

The third proportional to 662,834 and 937,011 is: 1,324,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,834 : 937,011 = 937,011 : x
  2. Step 2: Convert to fraction form
    662,834/937,011 = 937,011/x
  3. Step 3: Cross multiply
    662,834x = 937,011 × 937,011
  4. Step 4: Simplify right side
    662,834x = 877,989,614,121
  5. Step 5: Solve for x
    x = 877,989,614,121/662,834
  6. Step 6: Final answer
    x = 1,324,599.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.