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Finding the Third Proportional to 405,078 and 886,395

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Solution

The third proportional to 405,078 and 886,395 is: 1,939,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,078 : 886,395 = 886,395 : x
  2. Step 2: Convert to fraction form
    405,078/886,395 = 886,395/x
  3. Step 3: Cross multiply
    405,078x = 886,395 × 886,395
  4. Step 4: Simplify right side
    405,078x = 785,696,096,025
  5. Step 5: Solve for x
    x = 785,696,096,025/405,078
  6. Step 6: Final answer
    x = 1,939,616.80

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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.