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Finding the Third Proportional to 591,488,400 and 1,318,978,848

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Solution

The third proportional to 591,488,400 and 1,318,978,848 is: 2,941,233,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,488,400 : 1,318,978,848 = 1,318,978,848 : x
  2. Step 2: Convert to fraction form
    591,488,400/1,318,978,848 = 1,318,978,848/x
  3. Step 3: Cross multiply
    591,488,400x = 1,318,978,848 × 1,318,978,848
  4. Step 4: Simplify right side
    591,488,400x = 1,739,705,201,471,407,104
  5. Step 5: Solve for x
    x = 1,739,705,201,471,407,104/591,488,400
  6. Step 6: Final answer
    x = 2,941,233,000.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.