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Finding the Third Proportional to 920,684 and 1,969,296

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Solution

The third proportional to 920,684 and 1,969,296 is: 4,212,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,684 : 1,969,296 = 1,969,296 : x
  2. Step 2: Convert to fraction form
    920,684/1,969,296 = 1,969,296/x
  3. Step 3: Cross multiply
    920,684x = 1,969,296 × 1,969,296
  4. Step 4: Simplify right side
    920,684x = 3,878,126,735,616
  5. Step 5: Solve for x
    x = 3,878,126,735,616/920,684
  6. Step 6: Final answer
    x = 4,212,223.45

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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.