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Finding the Third Proportional to 856,652.84 and 1,285,147.27

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Solution

The third proportional to 856,652.84 and 1,285,147.27 is: 1,927,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,652.84 : 1,285,147.27 = 1,285,147.27 : x
  2. Step 2: Convert to fraction form
    856,652.84/1,285,147.27 = 1,285,147.27/x
  3. Step 3: Cross multiply
    856,652.84x = 1,285,147.27 × 1,285,147.27
  4. Step 4: Simplify right side
    856,652.84x = 1,651,603,494,343.41
  5. Step 5: Solve for x
    x = 1,651,603,494,343.41/856,652.84
  6. Step 6: Final answer
    x = 1,927,972.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.