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Finding the Third Proportional to 935,834 and 1,916,012

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Solution

The third proportional to 935,834 and 1,916,012 is: 3,922,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,834 : 1,916,012 = 1,916,012 : x
  2. Step 2: Convert to fraction form
    935,834/1,916,012 = 1,916,012/x
  3. Step 3: Cross multiply
    935,834x = 1,916,012 × 1,916,012
  4. Step 4: Simplify right side
    935,834x = 3,671,101,984,144
  5. Step 5: Solve for x
    x = 3,671,101,984,144/935,834
  6. Step 6: Final answer
    x = 3,922,813.22

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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.