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Finding the Third Proportional to 748,241 and 1,636,449

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Solution

The third proportional to 748,241 and 1,636,449 is: 3,579,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,241 : 1,636,449 = 1,636,449 : x
  2. Step 2: Convert to fraction form
    748,241/1,636,449 = 1,636,449/x
  3. Step 3: Cross multiply
    748,241x = 1,636,449 × 1,636,449
  4. Step 4: Simplify right side
    748,241x = 2,677,965,329,601
  5. Step 5: Solve for x
    x = 2,677,965,329,601/748,241
  6. Step 6: Final answer
    x = 3,579,014.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.