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Finding the Third Proportional to 1,843,849.50 and 2,778,075

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Solution

The third proportional to 1,843,849.50 and 2,778,075 is: 4,185,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,849.50 : 2,778,075 = 2,778,075 : x
  2. Step 2: Convert to fraction form
    1,843,849.50/2,778,075 = 2,778,075/x
  3. Step 3: Cross multiply
    1,843,849.50x = 2,778,075 × 2,778,075
  4. Step 4: Simplify right side
    1,843,849.50x = 7,717,700,705,625
  5. Step 5: Solve for x
    x = 7,717,700,705,625/1,843,849.50
  6. Step 6: Final answer
    x = 4,185,645.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.