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Finding the Third Proportional to 1,282,824 and 2,769,040

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Solution

The third proportional to 1,282,824 and 2,769,040 is: 5,977,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,824 : 2,769,040 = 2,769,040 : x
  2. Step 2: Convert to fraction form
    1,282,824/2,769,040 = 2,769,040/x
  3. Step 3: Cross multiply
    1,282,824x = 2,769,040 × 2,769,040
  4. Step 4: Simplify right side
    1,282,824x = 7,667,582,521,600
  5. Step 5: Solve for x
    x = 7,667,582,521,600/1,282,824
  6. Step 6: Final answer
    x = 5,977,111.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.