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Finding the Third Proportional to 1,420,008 and 3,100,223

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Solution

The third proportional to 1,420,008 and 3,100,223 is: 6,768,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,008 : 3,100,223 = 3,100,223 : x
  2. Step 2: Convert to fraction form
    1,420,008/3,100,223 = 3,100,223/x
  3. Step 3: Cross multiply
    1,420,008x = 3,100,223 × 3,100,223
  4. Step 4: Simplify right side
    1,420,008x = 9,611,382,649,729
  5. Step 5: Solve for x
    x = 9,611,382,649,729/1,420,008
  6. Step 6: Final answer
    x = 6,768,541.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.