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Finding the Third Proportional to 1,939,824 and 4,189,392

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Solution

The third proportional to 1,939,824 and 4,189,392 is: 9,047,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939,824 : 4,189,392 = 4,189,392 : x
  2. Step 2: Convert to fraction form
    1,939,824/4,189,392 = 4,189,392/x
  3. Step 3: Cross multiply
    1,939,824x = 4,189,392 × 4,189,392
  4. Step 4: Simplify right side
    1,939,824x = 17,551,005,329,664
  5. Step 5: Solve for x
    x = 17,551,005,329,664/1,939,824
  6. Step 6: Final answer
    x = 9,047,730.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.