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Finding the Third Proportional to 429,960 and 1,004,022

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Solution

The third proportional to 429,960 and 1,004,022 is: 2,344,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,960 : 1,004,022 = 1,004,022 : x
  2. Step 2: Convert to fraction form
    429,960/1,004,022 = 1,004,022/x
  3. Step 3: Cross multiply
    429,960x = 1,004,022 × 1,004,022
  4. Step 4: Simplify right side
    429,960x = 1,008,060,176,484
  5. Step 5: Solve for x
    x = 1,008,060,176,484/429,960
  6. Step 6: Final answer
    x = 2,344,544.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.