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Finding the Third Proportional to 2,281,684 and 4,857,000

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Solution

The third proportional to 2,281,684 and 4,857,000 is: 10,339,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,684 : 4,857,000 = 4,857,000 : x
  2. Step 2: Convert to fraction form
    2,281,684/4,857,000 = 4,857,000/x
  3. Step 3: Cross multiply
    2,281,684x = 4,857,000 × 4,857,000
  4. Step 4: Simplify right side
    2,281,684x = 23,590,449,000,000
  5. Step 5: Solve for x
    x = 23,590,449,000,000/2,281,684
  6. Step 6: Final answer
    x = 10,339,051.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.