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Finding the Third Proportional to 2,105,912.25 and 4,548,069

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Solution

The third proportional to 2,105,912.25 and 4,548,069 is: 9,822,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,912.25 : 4,548,069 = 4,548,069 : x
  2. Step 2: Convert to fraction form
    2,105,912.25/4,548,069 = 4,548,069/x
  3. Step 3: Cross multiply
    2,105,912.25x = 4,548,069 × 4,548,069
  4. Step 4: Simplify right side
    2,105,912.25x = 20,684,931,628,761
  5. Step 5: Solve for x
    x = 20,684,931,628,761/2,105,912.25
  6. Step 6: Final answer
    x = 9,822,314.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.