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Finding the Third Proportional to 577,244,978 and 1,260,299,140

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Solution

The third proportional to 577,244,978 and 1,260,299,140 is: 2,751,611,504.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,244,978 : 1,260,299,140 = 1,260,299,140 : x
  2. Step 2: Convert to fraction form
    577,244,978/1,260,299,140 = 1,260,299,140/x
  3. Step 3: Cross multiply
    577,244,978x = 1,260,299,140 × 1,260,299,140
  4. Step 4: Simplify right side
    577,244,978x = 1,588,353,922,284,739,584
  5. Step 5: Solve for x
    x = 1,588,353,922,284,739,584/577,244,978
  6. Step 6: Final answer
    x = 2,751,611,504.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.