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Finding the Third Proportional to 429,354 and 943,700

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Solution

The third proportional to 429,354 and 943,700 is: 2,074,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,354 : 943,700 = 943,700 : x
  2. Step 2: Convert to fraction form
    429,354/943,700 = 943,700/x
  3. Step 3: Cross multiply
    429,354x = 943,700 × 943,700
  4. Step 4: Simplify right side
    429,354x = 890,569,690,000
  5. Step 5: Solve for x
    x = 890,569,690,000/429,354
  6. Step 6: Final answer
    x = 2,074,208.44

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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.