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Finding the Third Proportional to 986,859 and 2,051,289

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Solution

The third proportional to 986,859 and 2,051,289 is: 4,263,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,859 : 2,051,289 = 2,051,289 : x
  2. Step 2: Convert to fraction form
    986,859/2,051,289 = 2,051,289/x
  3. Step 3: Cross multiply
    986,859x = 2,051,289 × 2,051,289
  4. Step 4: Simplify right side
    986,859x = 4,207,786,561,521
  5. Step 5: Solve for x
    x = 4,207,786,561,521/986,859
  6. Step 6: Final answer
    x = 4,263,817.39

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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.