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Finding the Third Proportional to 525,953.25 and 1,135,971

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Solution

The third proportional to 525,953.25 and 1,135,971 is: 2,453,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,953.25 : 1,135,971 = 1,135,971 : x
  2. Step 2: Convert to fraction form
    525,953.25/1,135,971 = 1,135,971/x
  3. Step 3: Cross multiply
    525,953.25x = 1,135,971 × 1,135,971
  4. Step 4: Simplify right side
    525,953.25x = 1,290,430,112,841
  5. Step 5: Solve for x
    x = 1,290,430,112,841/525,953.25
  6. Step 6: Final answer
    x = 2,453,507.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.