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Finding the Third Proportional to 1,282,022 and 2,802,184

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Solution

The third proportional to 1,282,022 and 2,802,184 is: 6,124,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,022 : 2,802,184 = 2,802,184 : x
  2. Step 2: Convert to fraction form
    1,282,022/2,802,184 = 2,802,184/x
  3. Step 3: Cross multiply
    1,282,022x = 2,802,184 × 2,802,184
  4. Step 4: Simplify right side
    1,282,022x = 7,852,235,169,856
  5. Step 5: Solve for x
    x = 7,852,235,169,856/1,282,022
  6. Step 6: Final answer
    x = 6,124,883.32

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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.