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Finding the Third Proportional to 2,143,612.69 and 4,719,021.19

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Solution

The third proportional to 2,143,612.69 and 4,719,021.19 is: 10,388,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,612.69 : 4,719,021.19 = 4,719,021.19 : x
  2. Step 2: Convert to fraction form
    2,143,612.69/4,719,021.19 = 4,719,021.19/x
  3. Step 3: Cross multiply
    2,143,612.69x = 4,719,021.19 × 4,719,021.19
  4. Step 4: Simplify right side
    2,143,612.69x = 22,269,160,968,073.91
  5. Step 5: Solve for x
    x = 22,269,160,968,073.91/2,143,612.69
  6. Step 6: Final answer
    x = 10,388,612.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.