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Finding the Third Proportional to 2,051,519 and 4,464,250

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Solution

The third proportional to 2,051,519 and 4,464,250 is: 9,714,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,519 : 4,464,250 = 4,464,250 : x
  2. Step 2: Convert to fraction form
    2,051,519/4,464,250 = 4,464,250/x
  3. Step 3: Cross multiply
    2,051,519x = 4,464,250 × 4,464,250
  4. Step 4: Simplify right side
    2,051,519x = 19,929,528,062,500
  5. Step 5: Solve for x
    x = 19,929,528,062,500/2,051,519
  6. Step 6: Final answer
    x = 9,714,522.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.