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Finding the Third Proportional to 429,720 and 936,468

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Solution

The third proportional to 429,720 and 936,468 is: 2,040,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,720 : 936,468 = 936,468 : x
  2. Step 2: Convert to fraction form
    429,720/936,468 = 936,468/x
  3. Step 3: Cross multiply
    429,720x = 936,468 × 936,468
  4. Step 4: Simplify right side
    429,720x = 876,972,315,024
  5. Step 5: Solve for x
    x = 876,972,315,024/429,720
  6. Step 6: Final answer
    x = 2,040,799.39

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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.