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Finding the Third Proportional to 1,364,317 and 2,970,677

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Solution

The third proportional to 1,364,317 and 2,970,677 is: 6,468,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364,317 : 2,970,677 = 2,970,677 : x
  2. Step 2: Convert to fraction form
    1,364,317/2,970,677 = 2,970,677/x
  3. Step 3: Cross multiply
    1,364,317x = 2,970,677 × 2,970,677
  4. Step 4: Simplify right side
    1,364,317x = 8,824,921,838,329
  5. Step 5: Solve for x
    x = 8,824,921,838,329/1,364,317
  6. Step 6: Final answer
    x = 6,468,380.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.