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Finding the Third Proportional to 509,092 and 1,150,202

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Solution

The third proportional to 509,092 and 1,150,202 is: 2,598,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,092 : 1,150,202 = 1,150,202 : x
  2. Step 2: Convert to fraction form
    509,092/1,150,202 = 1,150,202/x
  3. Step 3: Cross multiply
    509,092x = 1,150,202 × 1,150,202
  4. Step 4: Simplify right side
    509,092x = 1,322,964,640,804
  5. Step 5: Solve for x
    x = 1,322,964,640,804/509,092
  6. Step 6: Final answer
    x = 2,598,674.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.