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Finding the Third Proportional to 2,061,742.50 and 4,264,911

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Solution

The third proportional to 2,061,742.50 and 4,264,911 is: 8,822,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061,742.50 : 4,264,911 = 4,264,911 : x
  2. Step 2: Convert to fraction form
    2,061,742.50/4,264,911 = 4,264,911/x
  3. Step 3: Cross multiply
    2,061,742.50x = 4,264,911 × 4,264,911
  4. Step 4: Simplify right side
    2,061,742.50x = 18,189,465,837,921
  5. Step 5: Solve for x
    x = 18,189,465,837,921/2,061,742.50
  6. Step 6: Final answer
    x = 8,822,375.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.