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Finding the Third Proportional to 2,143,620 and 4,719,034

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Solution

The third proportional to 2,143,620 and 4,719,034 is: 10,388,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,620 : 4,719,034 = 4,719,034 : x
  2. Step 2: Convert to fraction form
    2,143,620/4,719,034 = 4,719,034/x
  3. Step 3: Cross multiply
    2,143,620x = 4,719,034 × 4,719,034
  4. Step 4: Simplify right side
    2,143,620x = 22,269,281,893,156
  5. Step 5: Solve for x
    x = 22,269,281,893,156/2,143,620
  6. Step 6: Final answer
    x = 10,388,633.20

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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.