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Finding the Third Proportional to 425,901 and 940,416

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Solution

The third proportional to 425,901 and 940,416 is: 2,076,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,901 : 940,416 = 940,416 : x
  2. Step 2: Convert to fraction form
    425,901/940,416 = 940,416/x
  3. Step 3: Cross multiply
    425,901x = 940,416 × 940,416
  4. Step 4: Simplify right side
    425,901x = 884,382,253,056
  5. Step 5: Solve for x
    x = 884,382,253,056/425,901
  6. Step 6: Final answer
    x = 2,076,497.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.