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Finding the Third Proportional to 429,986 and 934,600

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Solution

The third proportional to 429,986 and 934,600 is: 2,031,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,986 : 934,600 = 934,600 : x
  2. Step 2: Convert to fraction form
    429,986/934,600 = 934,600/x
  3. Step 3: Cross multiply
    429,986x = 934,600 × 934,600
  4. Step 4: Simplify right side
    429,986x = 873,477,160,000
  5. Step 5: Solve for x
    x = 873,477,160,000/429,986
  6. Step 6: Final answer
    x = 2,031,408.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.