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Finding the Third Proportional to 437,454 and 941,364

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Solution

The third proportional to 437,454 and 941,364 is: 2,025,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,454 : 941,364 = 941,364 : x
  2. Step 2: Convert to fraction form
    437,454/941,364 = 941,364/x
  3. Step 3: Cross multiply
    437,454x = 941,364 × 941,364
  4. Step 4: Simplify right side
    437,454x = 886,166,180,496
  5. Step 5: Solve for x
    x = 886,166,180,496/437,454
  6. Step 6: Final answer
    x = 2,025,735.69

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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.