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Finding the Third Proportional to 405,324 and 903,852

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Solution

The third proportional to 405,324 and 903,852 is: 2,015,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,324 : 903,852 = 903,852 : x
  2. Step 2: Convert to fraction form
    405,324/903,852 = 903,852/x
  3. Step 3: Cross multiply
    405,324x = 903,852 × 903,852
  4. Step 4: Simplify right side
    405,324x = 816,948,437,904
  5. Step 5: Solve for x
    x = 816,948,437,904/405,324
  6. Step 6: Final answer
    x = 2,015,544.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.