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Finding the Third Proportional to 1,023,680 and 2,112,928

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Solution

The third proportional to 1,023,680 and 2,112,928 is: 4,361,191.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,680 : 2,112,928 = 2,112,928 : x
  2. Step 2: Convert to fraction form
    1,023,680/2,112,928 = 2,112,928/x
  3. Step 3: Cross multiply
    1,023,680x = 2,112,928 × 2,112,928
  4. Step 4: Simplify right side
    1,023,680x = 4,464,464,733,184
  5. Step 5: Solve for x
    x = 4,464,464,733,184/1,023,680
  6. Step 6: Final answer
    x = 4,361,191.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.