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Finding the Third Proportional to 3,870,738 and 6,018,075

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Solution

The third proportional to 3,870,738 and 6,018,075 is: 9,356,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,738 : 6,018,075 = 6,018,075 : x
  2. Step 2: Convert to fraction form
    3,870,738/6,018,075 = 6,018,075/x
  3. Step 3: Cross multiply
    3,870,738x = 6,018,075 × 6,018,075
  4. Step 4: Simplify right side
    3,870,738x = 36,217,226,705,625
  5. Step 5: Solve for x
    x = 36,217,226,705,625/3,870,738
  6. Step 6: Final answer
    x = 9,356,672.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.