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Finding the Third Proportional to 429,356 and 943,704

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Solution

The third proportional to 429,356 and 943,704 is: 2,074,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,356 : 943,704 = 943,704 : x
  2. Step 2: Convert to fraction form
    429,356/943,704 = 943,704/x
  3. Step 3: Cross multiply
    429,356x = 943,704 × 943,704
  4. Step 4: Simplify right side
    429,356x = 890,577,239,616
  5. Step 5: Solve for x
    x = 890,577,239,616/429,356
  6. Step 6: Final answer
    x = 2,074,216.36

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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.