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Finding the Third Proportional to 1,282,020 and 2,802,183

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Solution

The third proportional to 1,282,020 and 2,802,183 is: 6,124,888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,020 : 2,802,183 = 2,802,183 : x
  2. Step 2: Convert to fraction form
    1,282,020/2,802,183 = 2,802,183/x
  3. Step 3: Cross multiply
    1,282,020x = 2,802,183 × 2,802,183
  4. Step 4: Simplify right side
    1,282,020x = 7,852,229,565,489
  5. Step 5: Solve for x
    x = 7,852,229,565,489/1,282,020
  6. Step 6: Final answer
    x = 6,124,888.51

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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.