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Finding the Third Proportional to 1,698,986 and 3,649,844

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Solution

The third proportional to 1,698,986 and 3,649,844 is: 7,840,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,986 : 3,649,844 = 3,649,844 : x
  2. Step 2: Convert to fraction form
    1,698,986/3,649,844 = 3,649,844/x
  3. Step 3: Cross multiply
    1,698,986x = 3,649,844 × 3,649,844
  4. Step 4: Simplify right side
    1,698,986x = 13,321,361,224,336
  5. Step 5: Solve for x
    x = 13,321,361,224,336/1,698,986
  6. Step 6: Final answer
    x = 7,840,771.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.