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Finding the Third Proportional to 1,749,698 and 3,638,998

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Solution

The third proportional to 1,749,698 and 3,638,998 is: 7,568,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,698 : 3,638,998 = 3,638,998 : x
  2. Step 2: Convert to fraction form
    1,749,698/3,638,998 = 3,638,998/x
  3. Step 3: Cross multiply
    1,749,698x = 3,638,998 × 3,638,998
  4. Step 4: Simplify right side
    1,749,698x = 13,242,306,444,004
  5. Step 5: Solve for x
    x = 13,242,306,444,004/1,749,698
  6. Step 6: Final answer
    x = 7,568,338.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.