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Finding the Third Proportional to 885,671 and 1,409,957

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Solution

The third proportional to 885,671 and 1,409,957 is: 2,244,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,671 : 1,409,957 = 1,409,957 : x
  2. Step 2: Convert to fraction form
    885,671/1,409,957 = 1,409,957/x
  3. Step 3: Cross multiply
    885,671x = 1,409,957 × 1,409,957
  4. Step 4: Simplify right side
    885,671x = 1,987,978,741,849
  5. Step 5: Solve for x
    x = 1,987,978,741,849/885,671
  6. Step 6: Final answer
    x = 2,244,601.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.