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Finding the Third Proportional to 437,967 and 943,407

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Solution

The third proportional to 437,967 and 943,407 is: 2,032,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,967 : 943,407 = 943,407 : x
  2. Step 2: Convert to fraction form
    437,967/943,407 = 943,407/x
  3. Step 3: Cross multiply
    437,967x = 943,407 × 943,407
  4. Step 4: Simplify right side
    437,967x = 890,016,767,649
  5. Step 5: Solve for x
    x = 890,016,767,649/437,967
  6. Step 6: Final answer
    x = 2,032,154.86

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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.