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Finding the Third Proportional to 461,188 and 993,524

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Solution

The third proportional to 461,188 and 993,524 is: 2,140,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,188 : 993,524 = 993,524 : x
  2. Step 2: Convert to fraction form
    461,188/993,524 = 993,524/x
  3. Step 3: Cross multiply
    461,188x = 993,524 × 993,524
  4. Step 4: Simplify right side
    461,188x = 987,089,938,576
  5. Step 5: Solve for x
    x = 987,089,938,576/461,188
  6. Step 6: Final answer
    x = 2,140,320.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.