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Finding the Third Proportional to 437,457 and 941,370

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Solution

The third proportional to 437,457 and 941,370 is: 2,025,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,457 : 941,370 = 941,370 : x
  2. Step 2: Convert to fraction form
    437,457/941,370 = 941,370/x
  3. Step 3: Cross multiply
    437,457x = 941,370 × 941,370
  4. Step 4: Simplify right side
    437,457x = 886,177,476,900
  5. Step 5: Solve for x
    x = 886,177,476,900/437,457
  6. Step 6: Final answer
    x = 2,025,747.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.