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Finding the Third Proportional to 525,957 and 1,135,977

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Solution

The third proportional to 525,957 and 1,135,977 is: 2,453,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,957 : 1,135,977 = 1,135,977 : x
  2. Step 2: Convert to fraction form
    525,957/1,135,977 = 1,135,977/x
  3. Step 3: Cross multiply
    525,957x = 1,135,977 × 1,135,977
  4. Step 4: Simplify right side
    525,957x = 1,290,443,744,529
  5. Step 5: Solve for x
    x = 1,290,443,744,529/525,957
  6. Step 6: Final answer
    x = 2,453,515.68

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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.