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Finding the Third Proportional to 1,349,122 and 2,873,029

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Solution

The third proportional to 1,349,122 and 2,873,029 is: 6,118,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,122 : 2,873,029 = 2,873,029 : x
  2. Step 2: Convert to fraction form
    1,349,122/2,873,029 = 2,873,029/x
  3. Step 3: Cross multiply
    1,349,122x = 2,873,029 × 2,873,029
  4. Step 4: Simplify right side
    1,349,122x = 8,254,295,634,841
  5. Step 5: Solve for x
    x = 8,254,295,634,841/1,349,122
  6. Step 6: Final answer
    x = 6,118,272.21

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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.