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Finding the Third Proportional to 986,856 and 2,162,190

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Solution

The third proportional to 986,856 and 2,162,190 is: 4,737,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,856 : 2,162,190 = 2,162,190 : x
  2. Step 2: Convert to fraction form
    986,856/2,162,190 = 2,162,190/x
  3. Step 3: Cross multiply
    986,856x = 2,162,190 × 2,162,190
  4. Step 4: Simplify right side
    986,856x = 4,675,065,596,100
  5. Step 5: Solve for x
    x = 4,675,065,596,100/986,856
  6. Step 6: Final answer
    x = 4,737,333.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.