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Finding the Third Proportional to 429,414 and 943,788

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Solution

The third proportional to 429,414 and 943,788 is: 2,074,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,414 : 943,788 = 943,788 : x
  2. Step 2: Convert to fraction form
    429,414/943,788 = 943,788/x
  3. Step 3: Cross multiply
    429,414x = 943,788 × 943,788
  4. Step 4: Simplify right side
    429,414x = 890,735,788,944
  5. Step 5: Solve for x
    x = 890,735,788,944/429,414
  6. Step 6: Final answer
    x = 2,074,305.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.