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Finding the Third Proportional to 525,150 and 1,266,097

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Solution

The third proportional to 525,150 and 1,266,097 is: 3,052,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,150 : 1,266,097 = 1,266,097 : x
  2. Step 2: Convert to fraction form
    525,150/1,266,097 = 1,266,097/x
  3. Step 3: Cross multiply
    525,150x = 1,266,097 × 1,266,097
  4. Step 4: Simplify right side
    525,150x = 1,603,001,613,409
  5. Step 5: Solve for x
    x = 1,603,001,613,409/525,150
  6. Step 6: Final answer
    x = 3,052,464.27

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.