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Finding the Third Proportional to 548,958 and 1,174,020

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Solution

The third proportional to 548,958 and 1,174,020 is: 2,510,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,958 : 1,174,020 = 1,174,020 : x
  2. Step 2: Convert to fraction form
    548,958/1,174,020 = 1,174,020/x
  3. Step 3: Cross multiply
    548,958x = 1,174,020 × 1,174,020
  4. Step 4: Simplify right side
    548,958x = 1,378,322,960,400
  5. Step 5: Solve for x
    x = 1,378,322,960,400/548,958
  6. Step 6: Final answer
    x = 2,510,798.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.