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Finding the Third Proportional to 979,706 and 1,498,647

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Solution

The third proportional to 979,706 and 1,498,647 is: 2,292,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,706 : 1,498,647 = 1,498,647 : x
  2. Step 2: Convert to fraction form
    979,706/1,498,647 = 1,498,647/x
  3. Step 3: Cross multiply
    979,706x = 1,498,647 × 1,498,647
  4. Step 4: Simplify right side
    979,706x = 2,245,942,830,609
  5. Step 5: Solve for x
    x = 2,245,942,830,609/979,706
  6. Step 6: Final answer
    x = 2,292,466.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.