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Finding the Third Proportional to 585,951 and 1,284,075

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Solution

The third proportional to 585,951 and 1,284,075 is: 2,813,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,951 : 1,284,075 = 1,284,075 : x
  2. Step 2: Convert to fraction form
    585,951/1,284,075 = 1,284,075/x
  3. Step 3: Cross multiply
    585,951x = 1,284,075 × 1,284,075
  4. Step 4: Simplify right side
    585,951x = 1,648,848,605,625
  5. Step 5: Solve for x
    x = 1,648,848,605,625/585,951
  6. Step 6: Final answer
    x = 2,813,970.12

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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.