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Finding the Third Proportional to 437,633 and 942,226

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Solution

The third proportional to 437,633 and 942,226 is: 2,028,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,633 : 942,226 = 942,226 : x
  2. Step 2: Convert to fraction form
    437,633/942,226 = 942,226/x
  3. Step 3: Cross multiply
    437,633x = 942,226 × 942,226
  4. Step 4: Simplify right side
    437,633x = 887,789,835,076
  5. Step 5: Solve for x
    x = 887,789,835,076/437,633
  6. Step 6: Final answer
    x = 2,028,617.21

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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.