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Finding the Third Proportional to 885,656.25 and 1,409,936.63

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Solution

The third proportional to 885,656.25 and 1,409,936.63 is: 2,244,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,656.25 : 1,409,936.63 = 1,409,936.63 : x
  2. Step 2: Convert to fraction form
    885,656.25/1,409,936.63 = 1,409,936.63/x
  3. Step 3: Cross multiply
    885,656.25x = 1,409,936.63 × 1,409,936.63
  4. Step 4: Simplify right side
    885,656.25x = 1,987,921,286,516.39
  5. Step 5: Solve for x
    x = 1,987,921,286,516.39/885,656.25
  6. Step 6: Final answer
    x = 2,244,574.33

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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.