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Finding the Third Proportional to 964,710 and 2,057,568.75

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Solution

The third proportional to 964,710 and 2,057,568.75 is: 4,388,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,710 : 2,057,568.75 = 2,057,568.75 : x
  2. Step 2: Convert to fraction form
    964,710/2,057,568.75 = 2,057,568.75/x
  3. Step 3: Cross multiply
    964,710x = 2,057,568.75 × 2,057,568.75
  4. Step 4: Simplify right side
    964,710x = 4,233,589,160,976.56
  5. Step 5: Solve for x
    x = 4,233,589,160,976.56/964,710
  6. Step 6: Final answer
    x = 4,388,457.84

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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.