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Finding the Third Proportional to 1,971,186 and 4,236,844

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Solution

The third proportional to 1,971,186 and 4,236,844 is: 9,106,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,186 : 4,236,844 = 4,236,844 : x
  2. Step 2: Convert to fraction form
    1,971,186/4,236,844 = 4,236,844/x
  3. Step 3: Cross multiply
    1,971,186x = 4,236,844 × 4,236,844
  4. Step 4: Simplify right side
    1,971,186x = 17,950,847,080,336
  5. Step 5: Solve for x
    x = 17,950,847,080,336/1,971,186
  6. Step 6: Final answer
    x = 9,106,622.65

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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.