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Finding the Third Proportional to 408,698 and 892,024

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Solution

The third proportional to 408,698 and 892,024 is: 1,946,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,698 : 892,024 = 892,024 : x
  2. Step 2: Convert to fraction form
    408,698/892,024 = 892,024/x
  3. Step 3: Cross multiply
    408,698x = 892,024 × 892,024
  4. Step 4: Simplify right side
    408,698x = 795,706,816,576
  5. Step 5: Solve for x
    x = 795,706,816,576/408,698
  6. Step 6: Final answer
    x = 1,946,931.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.