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Finding the Third Proportional to 444,161 and 904,810

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Solution

The third proportional to 444,161 and 904,810 is: 1,843,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,161 : 904,810 = 904,810 : x
  2. Step 2: Convert to fraction form
    444,161/904,810 = 904,810/x
  3. Step 3: Cross multiply
    444,161x = 904,810 × 904,810
  4. Step 4: Simplify right side
    444,161x = 818,681,136,100
  5. Step 5: Solve for x
    x = 818,681,136,100/444,161
  6. Step 6: Final answer
    x = 1,843,208.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.