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Finding the Third Proportional to 476,569 and 986,186

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Solution

The third proportional to 476,569 and 986,186 is: 2,040,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,569 : 986,186 = 986,186 : x
  2. Step 2: Convert to fraction form
    476,569/986,186 = 986,186/x
  3. Step 3: Cross multiply
    476,569x = 986,186 × 986,186
  4. Step 4: Simplify right side
    476,569x = 972,562,826,596
  5. Step 5: Solve for x
    x = 972,562,826,596/476,569
  6. Step 6: Final answer
    x = 2,040,759.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.