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Finding the Third Proportional to 429,786 and 936,036

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Solution

The third proportional to 429,786 and 936,036 is: 2,038,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,786 : 936,036 = 936,036 : x
  2. Step 2: Convert to fraction form
    429,786/936,036 = 936,036/x
  3. Step 3: Cross multiply
    429,786x = 936,036 × 936,036
  4. Step 4: Simplify right side
    429,786x = 876,163,393,296
  5. Step 5: Solve for x
    x = 876,163,393,296/429,786
  6. Step 6: Final answer
    x = 2,038,603.85

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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.