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Finding the Third Proportional to 1,016,825 and 2,168,758

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Solution

The third proportional to 1,016,825 and 2,168,758 is: 4,625,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,825 : 2,168,758 = 2,168,758 : x
  2. Step 2: Convert to fraction form
    1,016,825/2,168,758 = 2,168,758/x
  3. Step 3: Cross multiply
    1,016,825x = 2,168,758 × 2,168,758
  4. Step 4: Simplify right side
    1,016,825x = 4,703,511,262,564
  5. Step 5: Solve for x
    x = 4,703,511,262,564/1,016,825
  6. Step 6: Final answer
    x = 4,625,684.13

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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.