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Finding the Third Proportional to 404,962 and 886,190

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Solution

The third proportional to 404,962 and 886,190 is: 1,939,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,962 : 886,190 = 886,190 : x
  2. Step 2: Convert to fraction form
    404,962/886,190 = 886,190/x
  3. Step 3: Cross multiply
    404,962x = 886,190 × 886,190
  4. Step 4: Simplify right side
    404,962x = 785,332,716,100
  5. Step 5: Solve for x
    x = 785,332,716,100/404,962
  6. Step 6: Final answer
    x = 1,939,275.08

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Why These Related Problems?

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