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Finding the Third Proportional to 920,384 and 1,968,704

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Solution

The third proportional to 920,384 and 1,968,704 is: 4,211,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,384 : 1,968,704 = 1,968,704 : x
  2. Step 2: Convert to fraction form
    920,384/1,968,704 = 1,968,704/x
  3. Step 3: Cross multiply
    920,384x = 1,968,704 × 1,968,704
  4. Step 4: Simplify right side
    920,384x = 3,875,795,439,616
  5. Step 5: Solve for x
    x = 3,875,795,439,616/920,384
  6. Step 6: Final answer
    x = 4,211,063.47

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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.