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Finding the Third Proportional to 980,412 and 1,498,682

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Solution

The third proportional to 980,412 and 1,498,682 is: 2,290,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,412 : 1,498,682 = 1,498,682 : x
  2. Step 2: Convert to fraction form
    980,412/1,498,682 = 1,498,682/x
  3. Step 3: Cross multiply
    980,412x = 1,498,682 × 1,498,682
  4. Step 4: Simplify right side
    980,412x = 2,246,047,737,124
  5. Step 5: Solve for x
    x = 2,246,047,737,124/980,412
  6. Step 6: Final answer
    x = 2,290,922.32

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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.