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Finding the Third Proportional to 2,704,823.50 and 5,711,454

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Solution

The third proportional to 2,704,823.50 and 5,711,454 is: 12,060,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,823.50 : 5,711,454 = 5,711,454 : x
  2. Step 2: Convert to fraction form
    2,704,823.50/5,711,454 = 5,711,454/x
  3. Step 3: Cross multiply
    2,704,823.50x = 5,711,454 × 5,711,454
  4. Step 4: Simplify right side
    2,704,823.50x = 32,620,706,794,116
  5. Step 5: Solve for x
    x = 32,620,706,794,116/2,704,823.50
  6. Step 6: Final answer
    x = 12,060,197.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.