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Finding the Third Proportional to 920,680 and 1,905,296

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Solution

The third proportional to 920,680 and 1,905,296 is: 3,942,903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,680 : 1,905,296 = 1,905,296 : x
  2. Step 2: Convert to fraction form
    920,680/1,905,296 = 1,905,296/x
  3. Step 3: Cross multiply
    920,680x = 1,905,296 × 1,905,296
  4. Step 4: Simplify right side
    920,680x = 3,630,152,847,616
  5. Step 5: Solve for x
    x = 3,630,152,847,616/920,680
  6. Step 6: Final answer
    x = 3,942,903.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.