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Finding the Third Proportional to 885,642 and 1,409,923

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Solution

The third proportional to 885,642 and 1,409,923 is: 2,244,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,642 : 1,409,923 = 1,409,923 : x
  2. Step 2: Convert to fraction form
    885,642/1,409,923 = 1,409,923/x
  3. Step 3: Cross multiply
    885,642x = 1,409,923 × 1,409,923
  4. Step 4: Simplify right side
    885,642x = 1,987,882,865,929
  5. Step 5: Solve for x
    x = 1,987,882,865,929/885,642
  6. Step 6: Final answer
    x = 2,244,567.07

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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.