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Finding the Third Proportional to 1,299,078 and 2,833,623

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Solution

The third proportional to 1,299,078 and 2,833,623 is: 6,180,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,078 : 2,833,623 = 2,833,623 : x
  2. Step 2: Convert to fraction form
    1,299,078/2,833,623 = 2,833,623/x
  3. Step 3: Cross multiply
    1,299,078x = 2,833,623 × 2,833,623
  4. Step 4: Simplify right side
    1,299,078x = 8,029,419,306,129
  5. Step 5: Solve for x
    x = 8,029,419,306,129/1,299,078
  6. Step 6: Final answer
    x = 6,180,860.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.