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Finding the Third Proportional to 386,457 and 825,984

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Solution

The third proportional to 386,457 and 825,984 is: 1,765,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,457 : 825,984 = 825,984 : x
  2. Step 2: Convert to fraction form
    386,457/825,984 = 825,984/x
  3. Step 3: Cross multiply
    386,457x = 825,984 × 825,984
  4. Step 4: Simplify right side
    386,457x = 682,249,568,256
  5. Step 5: Solve for x
    x = 682,249,568,256/386,457
  6. Step 6: Final answer
    x = 1,765,395.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.