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Finding the Third Proportional to 882,286 and 1,932,608

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Solution

The third proportional to 882,286 and 1,932,608 is: 4,233,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,286 : 1,932,608 = 1,932,608 : x
  2. Step 2: Convert to fraction form
    882,286/1,932,608 = 1,932,608/x
  3. Step 3: Cross multiply
    882,286x = 1,932,608 × 1,932,608
  4. Step 4: Simplify right side
    882,286x = 3,734,973,681,664
  5. Step 5: Solve for x
    x = 3,734,973,681,664/882,286
  6. Step 6: Final answer
    x = 4,233,291.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.