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Finding the Third Proportional to 569,274 and 1,222,968

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Solution

The third proportional to 569,274 and 1,222,968 is: 2,627,294.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,274 : 1,222,968 = 1,222,968 : x
  2. Step 2: Convert to fraction form
    569,274/1,222,968 = 1,222,968/x
  3. Step 3: Cross multiply
    569,274x = 1,222,968 × 1,222,968
  4. Step 4: Simplify right side
    569,274x = 1,495,650,729,024
  5. Step 5: Solve for x
    x = 1,495,650,729,024/569,274
  6. Step 6: Final answer
    x = 2,627,294.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.