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Finding the Third Proportional to 483,774 and 1,006,770

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Solution

The third proportional to 483,774 and 1,006,770 is: 2,095,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,774 : 1,006,770 = 1,006,770 : x
  2. Step 2: Convert to fraction form
    483,774/1,006,770 = 1,006,770/x
  3. Step 3: Cross multiply
    483,774x = 1,006,770 × 1,006,770
  4. Step 4: Simplify right side
    483,774x = 1,013,585,832,900
  5. Step 5: Solve for x
    x = 1,013,585,832,900/483,774
  6. Step 6: Final answer
    x = 2,095,163.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.