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Finding the Third Proportional to 935,840 and 1,915,932

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Solution

The third proportional to 935,840 and 1,915,932 is: 3,922,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,840 : 1,915,932 = 1,915,932 : x
  2. Step 2: Convert to fraction form
    935,840/1,915,932 = 1,915,932/x
  3. Step 3: Cross multiply
    935,840x = 1,915,932 × 1,915,932
  4. Step 4: Simplify right side
    935,840x = 3,670,795,428,624
  5. Step 5: Solve for x
    x = 3,670,795,428,624/935,840
  6. Step 6: Final answer
    x = 3,922,460.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.