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Finding the Third Proportional to 1,351,824 and 1,889,952

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Solution

The third proportional to 1,351,824 and 1,889,952 is: 2,642,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351,824 : 1,889,952 = 1,889,952 : x
  2. Step 2: Convert to fraction form
    1,351,824/1,889,952 = 1,889,952/x
  3. Step 3: Cross multiply
    1,351,824x = 1,889,952 × 1,889,952
  4. Step 4: Simplify right side
    1,351,824x = 3,571,918,562,304
  5. Step 5: Solve for x
    x = 3,571,918,562,304/1,351,824
  6. Step 6: Final answer
    x = 2,642,295.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.