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Finding the Third Proportional to 837,864 and 1,808,568

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Solution

The third proportional to 837,864 and 1,808,568 is: 3,903,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,864 : 1,808,568 = 1,808,568 : x
  2. Step 2: Convert to fraction form
    837,864/1,808,568 = 1,808,568/x
  3. Step 3: Cross multiply
    837,864x = 1,808,568 × 1,808,568
  4. Step 4: Simplify right side
    837,864x = 3,270,918,210,624
  5. Step 5: Solve for x
    x = 3,270,918,210,624/837,864
  6. Step 6: Final answer
    x = 3,903,877.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.