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Finding the Third Proportional to 1,054,804,708 and 1,551,723,198

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Solution

The third proportional to 1,054,804,708 and 1,551,723,198 is: 2,282,739,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,804,708 : 1,551,723,198 = 1,551,723,198 : x
  2. Step 2: Convert to fraction form
    1,054,804,708/1,551,723,198 = 1,551,723,198/x
  3. Step 3: Cross multiply
    1,054,804,708x = 1,551,723,198 × 1,551,723,198
  4. Step 4: Simplify right side
    1,054,804,708x = 2,407,844,883,211,347,456
  5. Step 5: Solve for x
    x = 2,407,844,883,211,347,456/1,054,804,708
  6. Step 6: Final answer
    x = 2,282,739,984.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.