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Finding the Third Proportional to 537,991 and 1,135,886

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Solution

The third proportional to 537,991 and 1,135,886 is: 2,398,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,991 : 1,135,886 = 1,135,886 : x
  2. Step 2: Convert to fraction form
    537,991/1,135,886 = 1,135,886/x
  3. Step 3: Cross multiply
    537,991x = 1,135,886 × 1,135,886
  4. Step 4: Simplify right side
    537,991x = 1,290,237,004,996
  5. Step 5: Solve for x
    x = 1,290,237,004,996/537,991
  6. Step 6: Final answer
    x = 2,398,250.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.