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Finding the Third Proportional to 1,539,834.50 and 3,177,233

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Solution

The third proportional to 1,539,834.50 and 3,177,233 is: 6,555,775.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,834.50 : 3,177,233 = 3,177,233 : x
  2. Step 2: Convert to fraction form
    1,539,834.50/3,177,233 = 3,177,233/x
  3. Step 3: Cross multiply
    1,539,834.50x = 3,177,233 × 3,177,233
  4. Step 4: Simplify right side
    1,539,834.50x = 10,094,809,536,289
  5. Step 5: Solve for x
    x = 10,094,809,536,289/1,539,834.50
  6. Step 6: Final answer
    x = 6,555,775.66

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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.