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Finding the Third Proportional to 1,965,772 and 4,204,786

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Solution

The third proportional to 1,965,772 and 4,204,786 is: 8,994,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,772 : 4,204,786 = 4,204,786 : x
  2. Step 2: Convert to fraction form
    1,965,772/4,204,786 = 4,204,786/x
  3. Step 3: Cross multiply
    1,965,772x = 4,204,786 × 4,204,786
  4. Step 4: Simplify right side
    1,965,772x = 17,680,225,305,796
  5. Step 5: Solve for x
    x = 17,680,225,305,796/1,965,772
  6. Step 6: Final answer
    x = 8,994,036.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.