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Finding the Third Proportional to 2,284,714 and 4,862,840

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Solution

The third proportional to 2,284,714 and 4,862,840 is: 10,350,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,714 : 4,862,840 = 4,862,840 : x
  2. Step 2: Convert to fraction form
    2,284,714/4,862,840 = 4,862,840/x
  3. Step 3: Cross multiply
    2,284,714x = 4,862,840 × 4,862,840
  4. Step 4: Simplify right side
    2,284,714x = 23,647,212,865,600
  5. Step 5: Solve for x
    x = 23,647,212,865,600/2,284,714
  6. Step 6: Final answer
    x = 10,350,185.13

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Why These Related Problems?

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