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Finding the Third Proportional to 985,764 and 2,118,744

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Solution

The third proportional to 985,764 and 2,118,744 is: 4,553,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,764 : 2,118,744 = 2,118,744 : x
  2. Step 2: Convert to fraction form
    985,764/2,118,744 = 2,118,744/x
  3. Step 3: Cross multiply
    985,764x = 2,118,744 × 2,118,744
  4. Step 4: Simplify right side
    985,764x = 4,489,076,137,536
  5. Step 5: Solve for x
    x = 4,489,076,137,536/985,764
  6. Step 6: Final answer
    x = 4,553,905.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.