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Finding the Third Proportional to 456,867 and 1,004,859

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Solution

The third proportional to 456,867 and 1,004,859 is: 2,210,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,867 : 1,004,859 = 1,004,859 : x
  2. Step 2: Convert to fraction form
    456,867/1,004,859 = 1,004,859/x
  3. Step 3: Cross multiply
    456,867x = 1,004,859 × 1,004,859
  4. Step 4: Simplify right side
    456,867x = 1,009,741,609,881
  5. Step 5: Solve for x
    x = 1,009,741,609,881/456,867
  6. Step 6: Final answer
    x = 2,210,143.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.