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Finding the Third Proportional to 429,484 and 970,322

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Solution

The third proportional to 429,484 and 970,322 is: 2,192,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,484 : 970,322 = 970,322 : x
  2. Step 2: Convert to fraction form
    429,484/970,322 = 970,322/x
  3. Step 3: Cross multiply
    429,484x = 970,322 × 970,322
  4. Step 4: Simplify right side
    429,484x = 941,524,783,684
  5. Step 5: Solve for x
    x = 941,524,783,684/429,484
  6. Step 6: Final answer
    x = 2,192,223.19

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.