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Finding the Third Proportional to 1,380,980 and 2,953,860

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Solution

The third proportional to 1,380,980 and 2,953,860 is: 6,318,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,980 : 2,953,860 = 2,953,860 : x
  2. Step 2: Convert to fraction form
    1,380,980/2,953,860 = 2,953,860/x
  3. Step 3: Cross multiply
    1,380,980x = 2,953,860 × 2,953,860
  4. Step 4: Simplify right side
    1,380,980x = 8,725,288,899,600
  5. Step 5: Solve for x
    x = 8,725,288,899,600/1,380,980
  6. Step 6: Final answer
    x = 6,318,186.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.