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Finding the Third Proportional to 575,505,171 and 1,265,801,598

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Solution

The third proportional to 575,505,171 and 1,265,801,598 is: 2,784,082,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,505,171 : 1,265,801,598 = 1,265,801,598 : x
  2. Step 2: Convert to fraction form
    575,505,171/1,265,801,598 = 1,265,801,598/x
  3. Step 3: Cross multiply
    575,505,171x = 1,265,801,598 × 1,265,801,598
  4. Step 4: Simplify right side
    575,505,171x = 1,602,253,685,499,353,600
  5. Step 5: Solve for x
    x = 1,602,253,685,499,353,600/575,505,171
  6. Step 6: Final answer
    x = 2,784,082,170.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.