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Finding the Third Proportional to 1,011,631 and 2,116,786

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Solution

The third proportional to 1,011,631 and 2,116,786 is: 4,429,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,631 : 2,116,786 = 2,116,786 : x
  2. Step 2: Convert to fraction form
    1,011,631/2,116,786 = 2,116,786/x
  3. Step 3: Cross multiply
    1,011,631x = 2,116,786 × 2,116,786
  4. Step 4: Simplify right side
    1,011,631x = 4,480,782,969,796
  5. Step 5: Solve for x
    x = 4,480,782,969,796/1,011,631
  6. Step 6: Final answer
    x = 4,429,266.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.