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Finding the Third Proportional to 2,153,834 and 4,698,844

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Solution

The third proportional to 2,153,834 and 4,698,844 is: 10,251,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,834 : 4,698,844 = 4,698,844 : x
  2. Step 2: Convert to fraction form
    2,153,834/4,698,844 = 4,698,844/x
  3. Step 3: Cross multiply
    2,153,834x = 4,698,844 × 4,698,844
  4. Step 4: Simplify right side
    2,153,834x = 22,079,134,936,336
  5. Step 5: Solve for x
    x = 22,079,134,936,336/2,153,834
  6. Step 6: Final answer
    x = 10,251,084.78

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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.