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Finding the Third Proportional to 508,082 and 1,083,652

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Solution

The third proportional to 508,082 and 1,083,652 is: 2,311,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,082 : 1,083,652 = 1,083,652 : x
  2. Step 2: Convert to fraction form
    508,082/1,083,652 = 1,083,652/x
  3. Step 3: Cross multiply
    508,082x = 1,083,652 × 1,083,652
  4. Step 4: Simplify right side
    508,082x = 1,174,301,657,104
  5. Step 5: Solve for x
    x = 1,174,301,657,104/508,082
  6. Step 6: Final answer
    x = 2,311,244.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.