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Finding the Third Proportional to 2,384,212 and 5,172,080

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Solution

The third proportional to 2,384,212 and 5,172,080 is: 11,219,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,212 : 5,172,080 = 5,172,080 : x
  2. Step 2: Convert to fraction form
    2,384,212/5,172,080 = 5,172,080/x
  3. Step 3: Cross multiply
    2,384,212x = 5,172,080 × 5,172,080
  4. Step 4: Simplify right side
    2,384,212x = 26,750,411,526,400
  5. Step 5: Solve for x
    x = 26,750,411,526,400/2,384,212
  6. Step 6: Final answer
    x = 11,219,812.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.