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Finding the Third Proportional to 405,066 and 886,416

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Solution

The third proportional to 405,066 and 886,416 is: 1,939,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,066 : 886,416 = 886,416 : x
  2. Step 2: Convert to fraction form
    405,066/886,416 = 886,416/x
  3. Step 3: Cross multiply
    405,066x = 886,416 × 886,416
  4. Step 4: Simplify right side
    405,066x = 785,733,325,056
  5. Step 5: Solve for x
    x = 785,733,325,056/405,066
  6. Step 6: Final answer
    x = 1,939,766.17

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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.