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Finding the Third Proportional to 374,074 and 797,010

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Solution

The third proportional to 374,074 and 797,010 is: 1,698,126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,074 : 797,010 = 797,010 : x
  2. Step 2: Convert to fraction form
    374,074/797,010 = 797,010/x
  3. Step 3: Cross multiply
    374,074x = 797,010 × 797,010
  4. Step 4: Simplify right side
    374,074x = 635,224,940,100
  5. Step 5: Solve for x
    x = 635,224,940,100/374,074
  6. Step 6: Final answer
    x = 1,698,126.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.