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Finding the Third Proportional to 455,544 and 986,202

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Solution

The third proportional to 455,544 and 986,202 is: 2,135,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,544 : 986,202 = 986,202 : x
  2. Step 2: Convert to fraction form
    455,544/986,202 = 986,202/x
  3. Step 3: Cross multiply
    455,544x = 986,202 × 986,202
  4. Step 4: Simplify right side
    455,544x = 972,594,384,804
  5. Step 5: Solve for x
    x = 972,594,384,804/455,544
  6. Step 6: Final answer
    x = 2,135,017.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.