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Finding the Third Proportional to 920,676 and 1,969,280

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Solution

The third proportional to 920,676 and 1,969,280 is: 4,212,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,676 : 1,969,280 = 1,969,280 : x
  2. Step 2: Convert to fraction form
    920,676/1,969,280 = 1,969,280/x
  3. Step 3: Cross multiply
    920,676x = 1,969,280 × 1,969,280
  4. Step 4: Simplify right side
    920,676x = 3,878,063,718,400
  5. Step 5: Solve for x
    x = 3,878,063,718,400/920,676
  6. Step 6: Final answer
    x = 4,212,191.61

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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.