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Finding the Third Proportional to 1,378,745 and 2,916,458

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Solution

The third proportional to 1,378,745 and 2,916,458 is: 6,169,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,745 : 2,916,458 = 2,916,458 : x
  2. Step 2: Convert to fraction form
    1,378,745/2,916,458 = 2,916,458/x
  3. Step 3: Cross multiply
    1,378,745x = 2,916,458 × 2,916,458
  4. Step 4: Simplify right side
    1,378,745x = 8,505,727,265,764
  5. Step 5: Solve for x
    x = 8,505,727,265,764/1,378,745
  6. Step 6: Final answer
    x = 6,169,180.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.