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Finding the Third Proportional to 429,651 and 945,108

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Solution

The third proportional to 429,651 and 945,108 is: 2,078,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,651 : 945,108 = 945,108 : x
  2. Step 2: Convert to fraction form
    429,651/945,108 = 945,108/x
  3. Step 3: Cross multiply
    429,651x = 945,108 × 945,108
  4. Step 4: Simplify right side
    429,651x = 893,229,131,664
  5. Step 5: Solve for x
    x = 893,229,131,664/429,651
  6. Step 6: Final answer
    x = 2,078,964.40

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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.