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Finding the Third Proportional to 856,880 and 2,030,100

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Solution

The third proportional to 856,880 and 2,030,100 is: 4,809,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,880 : 2,030,100 = 2,030,100 : x
  2. Step 2: Convert to fraction form
    856,880/2,030,100 = 2,030,100/x
  3. Step 3: Cross multiply
    856,880x = 2,030,100 × 2,030,100
  4. Step 4: Simplify right side
    856,880x = 4,121,306,010,000
  5. Step 5: Solve for x
    x = 4,121,306,010,000/856,880
  6. Step 6: Final answer
    x = 4,809,665.31

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.