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Finding the Third Proportional to 428,159 and 941,065

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Solution

The third proportional to 428,159 and 941,065 is: 2,068,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,159 : 941,065 = 941,065 : x
  2. Step 2: Convert to fraction form
    428,159/941,065 = 941,065/x
  3. Step 3: Cross multiply
    428,159x = 941,065 × 941,065
  4. Step 4: Simplify right side
    428,159x = 885,603,334,225
  5. Step 5: Solve for x
    x = 885,603,334,225/428,159
  6. Step 6: Final answer
    x = 2,068,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.