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Finding the Third Proportional to 404,953 and 886,180

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Solution

The third proportional to 404,953 and 886,180 is: 1,939,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,953 : 886,180 = 886,180 : x
  2. Step 2: Convert to fraction form
    404,953/886,180 = 886,180/x
  3. Step 3: Cross multiply
    404,953x = 886,180 × 886,180
  4. Step 4: Simplify right side
    404,953x = 785,314,992,400
  5. Step 5: Solve for x
    x = 785,314,992,400/404,953
  6. Step 6: Final answer
    x = 1,939,274.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.