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Finding the Third Proportional to 429,346 and 943,684

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Solution

The third proportional to 429,346 and 943,684 is: 2,074,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,346 : 943,684 = 943,684 : x
  2. Step 2: Convert to fraction form
    429,346/943,684 = 943,684/x
  3. Step 3: Cross multiply
    429,346x = 943,684 × 943,684
  4. Step 4: Simplify right side
    429,346x = 890,539,491,856
  5. Step 5: Solve for x
    x = 890,539,491,856/429,346
  6. Step 6: Final answer
    x = 2,074,176.75

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Why These Related Problems?

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