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Finding the Third Proportional to 405,048 and 886,344

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Solution

The third proportional to 405,048 and 886,344 is: 1,939,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,048 : 886,344 = 886,344 : x
  2. Step 2: Convert to fraction form
    405,048/886,344 = 886,344/x
  3. Step 3: Cross multiply
    405,048x = 886,344 × 886,344
  4. Step 4: Simplify right side
    405,048x = 785,605,686,336
  5. Step 5: Solve for x
    x = 785,605,686,336/405,048
  6. Step 6: Final answer
    x = 1,939,537.26

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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.