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Finding the Third Proportional to 700,400 and 1,019,980

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Solution

The third proportional to 700,400 and 1,019,980 is: 1,485,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,400 : 1,019,980 = 1,019,980 : x
  2. Step 2: Convert to fraction form
    700,400/1,019,980 = 1,019,980/x
  3. Step 3: Cross multiply
    700,400x = 1,019,980 × 1,019,980
  4. Step 4: Simplify right side
    700,400x = 1,040,359,200,400
  5. Step 5: Solve for x
    x = 1,040,359,200,400/700,400
  6. Step 6: Final answer
    x = 1,485,378.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.