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Finding the Third Proportional to 429,864 and 935,856

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Solution

The third proportional to 429,864 and 935,856 is: 2,037,450.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,864 : 935,856 = 935,856 : x
  2. Step 2: Convert to fraction form
    429,864/935,856 = 935,856/x
  3. Step 3: Cross multiply
    429,864x = 935,856 × 935,856
  4. Step 4: Simplify right side
    429,864x = 875,826,452,736
  5. Step 5: Solve for x
    x = 875,826,452,736/429,864
  6. Step 6: Final answer
    x = 2,037,450.11

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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.