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Finding the Third Proportional to 2,091,824 and 2,945,684

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Solution

The third proportional to 2,091,824 and 2,945,684 is: 4,148,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,824 : 2,945,684 = 2,945,684 : x
  2. Step 2: Convert to fraction form
    2,091,824/2,945,684 = 2,945,684/x
  3. Step 3: Cross multiply
    2,091,824x = 2,945,684 × 2,945,684
  4. Step 4: Simplify right side
    2,091,824x = 8,677,054,227,856
  5. Step 5: Solve for x
    x = 8,677,054,227,856/2,091,824
  6. Step 6: Final answer
    x = 4,148,080.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.