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Finding the Third Proportional to 429,516 and 943,992

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Solution

The third proportional to 429,516 and 943,992 is: 2,074,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,516 : 943,992 = 943,992 : x
  2. Step 2: Convert to fraction form
    429,516/943,992 = 943,992/x
  3. Step 3: Cross multiply
    429,516x = 943,992 × 943,992
  4. Step 4: Simplify right side
    429,516x = 891,120,896,064
  5. Step 5: Solve for x
    x = 891,120,896,064/429,516
  6. Step 6: Final answer
    x = 2,074,709.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.