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Finding the Third Proportional to 945,885 and 2,075,723

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Solution

The third proportional to 945,885 and 2,075,723 is: 4,555,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,885 : 2,075,723 = 2,075,723 : x
  2. Step 2: Convert to fraction form
    945,885/2,075,723 = 2,075,723/x
  3. Step 3: Cross multiply
    945,885x = 2,075,723 × 2,075,723
  4. Step 4: Simplify right side
    945,885x = 4,308,625,972,729
  5. Step 5: Solve for x
    x = 4,308,625,972,729/945,885
  6. Step 6: Final answer
    x = 4,555,126.65

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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.