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Finding the Third Proportional to 509,072 and 1,150,152

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Solution

The third proportional to 509,072 and 1,150,152 is: 2,598,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,072 : 1,150,152 = 1,150,152 : x
  2. Step 2: Convert to fraction form
    509,072/1,150,152 = 1,150,152/x
  3. Step 3: Cross multiply
    509,072x = 1,150,152 × 1,150,152
  4. Step 4: Simplify right side
    509,072x = 1,322,849,623,104
  5. Step 5: Solve for x
    x = 1,322,849,623,104/509,072
  6. Step 6: Final answer
    x = 2,598,551.13

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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.