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Finding the Third Proportional to 980,410 and 1,498,679

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Solution

The third proportional to 980,410 and 1,498,679 is: 2,290,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,410 : 1,498,679 = 1,498,679 : x
  2. Step 2: Convert to fraction form
    980,410/1,498,679 = 1,498,679/x
  3. Step 3: Cross multiply
    980,410x = 1,498,679 × 1,498,679
  4. Step 4: Simplify right side
    980,410x = 2,246,038,745,041
  5. Step 5: Solve for x
    x = 2,246,038,745,041/980,410
  6. Step 6: Final answer
    x = 2,290,917.83

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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.