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Finding the Third Proportional to 1,309,780 and 2,894,848

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Solution

The third proportional to 1,309,780 and 2,894,848 is: 6,398,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,780 : 2,894,848 = 2,894,848 : x
  2. Step 2: Convert to fraction form
    1,309,780/2,894,848 = 2,894,848/x
  3. Step 3: Cross multiply
    1,309,780x = 2,894,848 × 2,894,848
  4. Step 4: Simplify right side
    1,309,780x = 8,380,144,943,104
  5. Step 5: Solve for x
    x = 8,380,144,943,104/1,309,780
  6. Step 6: Final answer
    x = 6,398,131.70

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.