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Finding the Third Proportional to 2,743,723 and 4,075,789

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Solution

The third proportional to 2,743,723 and 4,075,789 is: 6,054,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743,723 : 4,075,789 = 4,075,789 : x
  2. Step 2: Convert to fraction form
    2,743,723/4,075,789 = 4,075,789/x
  3. Step 3: Cross multiply
    2,743,723x = 4,075,789 × 4,075,789
  4. Step 4: Simplify right side
    2,743,723x = 16,612,055,972,521
  5. Step 5: Solve for x
    x = 16,612,055,972,521/2,743,723
  6. Step 6: Final answer
    x = 6,054,567.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.