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Finding the Third Proportional to 2,129,854 and 4,632,884

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Solution

The third proportional to 2,129,854 and 4,632,884 is: 10,077,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,854 : 4,632,884 = 4,632,884 : x
  2. Step 2: Convert to fraction form
    2,129,854/4,632,884 = 4,632,884/x
  3. Step 3: Cross multiply
    2,129,854x = 4,632,884 × 4,632,884
  4. Step 4: Simplify right side
    2,129,854x = 21,463,614,157,456
  5. Step 5: Solve for x
    x = 21,463,614,157,456/2,129,854
  6. Step 6: Final answer
    x = 10,077,504.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.