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Finding the Third Proportional to 1,539,834 and 3,177,231

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Solution

The third proportional to 1,539,834 and 3,177,231 is: 6,555,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,834 : 3,177,231 = 3,177,231 : x
  2. Step 2: Convert to fraction form
    1,539,834/3,177,231 = 3,177,231/x
  3. Step 3: Cross multiply
    1,539,834x = 3,177,231 × 3,177,231
  4. Step 4: Simplify right side
    1,539,834x = 10,094,796,827,361
  5. Step 5: Solve for x
    x = 10,094,796,827,361/1,539,834
  6. Step 6: Final answer
    x = 6,555,769.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.