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Finding the Third Proportional to 2,077,153 and 4,319,419

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Solution

The third proportional to 2,077,153 and 4,319,419 is: 8,982,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,153 : 4,319,419 = 4,319,419 : x
  2. Step 2: Convert to fraction form
    2,077,153/4,319,419 = 4,319,419/x
  3. Step 3: Cross multiply
    2,077,153x = 4,319,419 × 4,319,419
  4. Step 4: Simplify right side
    2,077,153x = 18,657,380,497,561
  5. Step 5: Solve for x
    x = 18,657,380,497,561/2,077,153
  6. Step 6: Final answer
    x = 8,982,188.84

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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.