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Finding the Third Proportional to 860,075,848 and 1,328,134,962

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Solution

The third proportional to 860,075,848 and 1,328,134,962 is: 2,050,915,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,075,848 : 1,328,134,962 = 1,328,134,962 : x
  2. Step 2: Convert to fraction form
    860,075,848/1,328,134,962 = 1,328,134,962/x
  3. Step 3: Cross multiply
    860,075,848x = 1,328,134,962 × 1,328,134,962
  4. Step 4: Simplify right side
    860,075,848x = 1,763,942,477,286,741,504
  5. Step 5: Solve for x
    x = 1,763,942,477,286,741,504/860,075,848
  6. Step 6: Final answer
    x = 2,050,915,022.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.