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Finding the Third Proportional to 3,197,774 and 4,920,170

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Solution

The third proportional to 3,197,774 and 4,920,170 is: 7,570,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,774 : 4,920,170 = 4,920,170 : x
  2. Step 2: Convert to fraction form
    3,197,774/4,920,170 = 4,920,170/x
  3. Step 3: Cross multiply
    3,197,774x = 4,920,170 × 4,920,170
  4. Step 4: Simplify right side
    3,197,774x = 24,208,072,828,900
  5. Step 5: Solve for x
    x = 24,208,072,828,900/3,197,774
  6. Step 6: Final answer
    x = 7,570,288.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.