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Finding the Third Proportional to 2,129,834 and 4,632,844

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Solution

The third proportional to 2,129,834 and 4,632,844 is: 10,077,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,834 : 4,632,844 = 4,632,844 : x
  2. Step 2: Convert to fraction form
    2,129,834/4,632,844 = 4,632,844/x
  3. Step 3: Cross multiply
    2,129,834x = 4,632,844 × 4,632,844
  4. Step 4: Simplify right side
    2,129,834x = 21,463,243,528,336
  5. Step 5: Solve for x
    x = 21,463,243,528,336/2,129,834
  6. Step 6: Final answer
    x = 10,077,425.53

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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.