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Finding the Third Proportional to 1,505,152 and 2,305,680

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Solution

The third proportional to 1,505,152 and 2,305,680 is: 3,531,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,152 : 2,305,680 = 2,305,680 : x
  2. Step 2: Convert to fraction form
    1,505,152/2,305,680 = 2,305,680/x
  3. Step 3: Cross multiply
    1,505,152x = 2,305,680 × 2,305,680
  4. Step 4: Simplify right side
    1,505,152x = 5,316,160,262,400
  5. Step 5: Solve for x
    x = 5,316,160,262,400/1,505,152
  6. Step 6: Final answer
    x = 3,531,975.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.