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Finding the Third Proportional to 979,891 and 1,539,827

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Solution

The third proportional to 979,891 and 1,539,827 is: 2,419,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,891 : 1,539,827 = 1,539,827 : x
  2. Step 2: Convert to fraction form
    979,891/1,539,827 = 1,539,827/x
  3. Step 3: Cross multiply
    979,891x = 1,539,827 × 1,539,827
  4. Step 4: Simplify right side
    979,891x = 2,371,067,189,929
  5. Step 5: Solve for x
    x = 2,371,067,189,929/979,891
  6. Step 6: Final answer
    x = 2,419,725.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.