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Finding the Third Proportional to 3,085,382 and 6,701,458

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Solution

The third proportional to 3,085,382 and 6,701,458 is: 14,555,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085,382 : 6,701,458 = 6,701,458 : x
  2. Step 2: Convert to fraction form
    3,085,382/6,701,458 = 6,701,458/x
  3. Step 3: Cross multiply
    3,085,382x = 6,701,458 × 6,701,458
  4. Step 4: Simplify right side
    3,085,382x = 44,909,539,325,764
  5. Step 5: Solve for x
    x = 44,909,539,325,764/3,085,382
  6. Step 6: Final answer
    x = 14,555,584.79

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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.