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Finding the Third Proportional to 2,874,500 and 6,134,641

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Solution

The third proportional to 2,874,500 and 6,134,641 is: 13,092,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874,500 : 6,134,641 = 6,134,641 : x
  2. Step 2: Convert to fraction form
    2,874,500/6,134,641 = 6,134,641/x
  3. Step 3: Cross multiply
    2,874,500x = 6,134,641 × 6,134,641
  4. Step 4: Simplify right side
    2,874,500x = 37,633,820,198,881
  5. Step 5: Solve for x
    x = 37,633,820,198,881/2,874,500
  6. Step 6: Final answer
    x = 13,092,301.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.