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Finding the Third Proportional to 2,653,160 and 5,684,848

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Solution

The third proportional to 2,653,160 and 5,684,848 is: 12,180,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653,160 : 5,684,848 = 5,684,848 : x
  2. Step 2: Convert to fraction form
    2,653,160/5,684,848 = 5,684,848/x
  3. Step 3: Cross multiply
    2,653,160x = 5,684,848 × 5,684,848
  4. Step 4: Simplify right side
    2,653,160x = 32,317,496,783,104
  5. Step 5: Solve for x
    x = 32,317,496,783,104/2,653,160
  6. Step 6: Final answer
    x = 12,180,756.83

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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.