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Finding the Third Proportional to 2,961,000 and 6,429,366

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Solution

The third proportional to 2,961,000 and 6,429,366 is: 13,960,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,000 : 6,429,366 = 6,429,366 : x
  2. Step 2: Convert to fraction form
    2,961,000/6,429,366 = 6,429,366/x
  3. Step 3: Cross multiply
    2,961,000x = 6,429,366 × 6,429,366
  4. Step 4: Simplify right side
    2,961,000x = 41,336,747,161,956
  5. Step 5: Solve for x
    x = 41,336,747,161,956/2,961,000
  6. Step 6: Final answer
    x = 13,960,400.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.