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Finding the Third Proportional to 2,077,137 and 4,319,391

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Solution

The third proportional to 2,077,137 and 4,319,391 is: 8,982,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,137 : 4,319,391 = 4,319,391 : x
  2. Step 2: Convert to fraction form
    2,077,137/4,319,391 = 4,319,391/x
  3. Step 3: Cross multiply
    2,077,137x = 4,319,391 × 4,319,391
  4. Step 4: Simplify right side
    2,077,137x = 18,657,138,610,881
  5. Step 5: Solve for x
    x = 18,657,138,610,881/2,077,137
  6. Step 6: Final answer
    x = 8,982,141.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.