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Finding the Third Proportional to 429,714 and 936,458

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Solution

The third proportional to 429,714 and 936,458 is: 2,040,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,714 : 936,458 = 936,458 : x
  2. Step 2: Convert to fraction form
    429,714/936,458 = 936,458/x
  3. Step 3: Cross multiply
    429,714x = 936,458 × 936,458
  4. Step 4: Simplify right side
    429,714x = 876,953,585,764
  5. Step 5: Solve for x
    x = 876,953,585,764/429,714
  6. Step 6: Final answer
    x = 2,040,784.30

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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.