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Finding the Third Proportional to 797,998 and 1,751,031

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Solution

The third proportional to 797,998 and 1,751,031 is: 3,842,252.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,998 : 1,751,031 = 1,751,031 : x
  2. Step 2: Convert to fraction form
    797,998/1,751,031 = 1,751,031/x
  3. Step 3: Cross multiply
    797,998x = 1,751,031 × 1,751,031
  4. Step 4: Simplify right side
    797,998x = 3,066,109,562,961
  5. Step 5: Solve for x
    x = 3,066,109,562,961/797,998
  6. Step 6: Final answer
    x = 3,842,252.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.