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Finding the Third Proportional to 885,649 and 1,409,928

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Solution

The third proportional to 885,649 and 1,409,928 is: 2,244,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,649 : 1,409,928 = 1,409,928 : x
  2. Step 2: Convert to fraction form
    885,649/1,409,928 = 1,409,928/x
  3. Step 3: Cross multiply
    885,649x = 1,409,928 × 1,409,928
  4. Step 4: Simplify right side
    885,649x = 1,987,896,965,184
  5. Step 5: Solve for x
    x = 1,987,896,965,184/885,649
  6. Step 6: Final answer
    x = 2,244,565.25

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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.