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Finding the Third Proportional to 1,211,594 and 1,900,800

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Solution

The third proportional to 1,211,594 and 1,900,800 is: 2,982,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,594 : 1,900,800 = 1,900,800 : x
  2. Step 2: Convert to fraction form
    1,211,594/1,900,800 = 1,900,800/x
  3. Step 3: Cross multiply
    1,211,594x = 1,900,800 × 1,900,800
  4. Step 4: Simplify right side
    1,211,594x = 3,613,040,640,000
  5. Step 5: Solve for x
    x = 3,613,040,640,000/1,211,594
  6. Step 6: Final answer
    x = 2,982,055.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.