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Finding the Third Proportional to 429,715 and 936,460

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Solution

The third proportional to 429,715 and 936,460 is: 2,040,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,715 : 936,460 = 936,460 : x
  2. Step 2: Convert to fraction form
    429,715/936,460 = 936,460/x
  3. Step 3: Cross multiply
    429,715x = 936,460 × 936,460
  4. Step 4: Simplify right side
    429,715x = 876,957,331,600
  5. Step 5: Solve for x
    x = 876,957,331,600/429,715
  6. Step 6: Final answer
    x = 2,040,788.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.