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Finding the Third Proportional to 405,096 and 886,448

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Solution

The third proportional to 405,096 and 886,448 is: 1,939,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,096 : 886,448 = 886,448 : x
  2. Step 2: Convert to fraction form
    405,096/886,448 = 886,448/x
  3. Step 3: Cross multiply
    405,096x = 886,448 × 886,448
  4. Step 4: Simplify right side
    405,096x = 785,790,056,704
  5. Step 5: Solve for x
    x = 785,790,056,704/405,096
  6. Step 6: Final answer
    x = 1,939,762.57

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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.