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Finding the Third Proportional to 429,984 and 934,596

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Solution

The third proportional to 429,984 and 934,596 is: 2,031,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,984 : 934,596 = 934,596 : x
  2. Step 2: Convert to fraction form
    429,984/934,596 = 934,596/x
  3. Step 3: Cross multiply
    429,984x = 934,596 × 934,596
  4. Step 4: Simplify right side
    429,984x = 873,469,683,216
  5. Step 5: Solve for x
    x = 873,469,683,216/429,984
  6. Step 6: Final answer
    x = 2,031,400.43

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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.