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Finding the Third Proportional to 920,616 and 1,969,164

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Solution

The third proportional to 920,616 and 1,969,164 is: 4,211,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,616 : 1,969,164 = 1,969,164 : x
  2. Step 2: Convert to fraction form
    920,616/1,969,164 = 1,969,164/x
  3. Step 3: Cross multiply
    920,616x = 1,969,164 × 1,969,164
  4. Step 4: Simplify right side
    920,616x = 3,877,606,858,896
  5. Step 5: Solve for x
    x = 3,877,606,858,896/920,616
  6. Step 6: Final answer
    x = 4,211,969.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.