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Finding the Third Proportional to 525,906 and 1,135,872

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Solution

The third proportional to 525,906 and 1,135,872 is: 2,453,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,906 : 1,135,872 = 1,135,872 : x
  2. Step 2: Convert to fraction form
    525,906/1,135,872 = 1,135,872/x
  3. Step 3: Cross multiply
    525,906x = 1,135,872 × 1,135,872
  4. Step 4: Simplify right side
    525,906x = 1,290,205,200,384
  5. Step 5: Solve for x
    x = 1,290,205,200,384/525,906
  6. Step 6: Final answer
    x = 2,453,300.02

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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.