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Finding the Third Proportional to 1,261,136 and 2,802,208

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Solution

The third proportional to 1,261,136 and 2,802,208 is: 6,226,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,136 : 2,802,208 = 2,802,208 : x
  2. Step 2: Convert to fraction form
    1,261,136/2,802,208 = 2,802,208/x
  3. Step 3: Cross multiply
    1,261,136x = 2,802,208 × 2,802,208
  4. Step 4: Simplify right side
    1,261,136x = 7,852,369,675,264
  5. Step 5: Solve for x
    x = 7,852,369,675,264/1,261,136
  6. Step 6: Final answer
    x = 6,226,425.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.