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Finding the Third Proportional to 986,786 and 2,125,837

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Solution

The third proportional to 986,786 and 2,125,837 is: 4,579,699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,786 : 2,125,837 = 2,125,837 : x
  2. Step 2: Convert to fraction form
    986,786/2,125,837 = 2,125,837/x
  3. Step 3: Cross multiply
    986,786x = 2,125,837 × 2,125,837
  4. Step 4: Simplify right side
    986,786x = 4,519,182,950,569
  5. Step 5: Solve for x
    x = 4,519,182,950,569/986,786
  6. Step 6: Final answer
    x = 4,579,699.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.