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Finding the Third Proportional to 1,370,797 and 2,970,176

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Solution

The third proportional to 1,370,797 and 2,970,176 is: 6,435,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,797 : 2,970,176 = 2,970,176 : x
  2. Step 2: Convert to fraction form
    1,370,797/2,970,176 = 2,970,176/x
  3. Step 3: Cross multiply
    1,370,797x = 2,970,176 × 2,970,176
  4. Step 4: Simplify right side
    1,370,797x = 8,821,945,470,976
  5. Step 5: Solve for x
    x = 8,821,945,470,976/1,370,797
  6. Step 6: Final answer
    x = 6,435,632.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.