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Finding the Third Proportional to 856,256.06 and 1,882,004.63

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Solution

The third proportional to 856,256.06 and 1,882,004.63 is: 4,136,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,256.06 : 1,882,004.63 = 1,882,004.63 : x
  2. Step 2: Convert to fraction form
    856,256.06/1,882,004.63 = 1,882,004.63/x
  3. Step 3: Cross multiply
    856,256.06x = 1,882,004.63 × 1,882,004.63
  4. Step 4: Simplify right side
    856,256.06x = 3,541,941,408,521.39
  5. Step 5: Solve for x
    x = 3,541,941,408,521.39/856,256.06
  6. Step 6: Final answer
    x = 4,136,544.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.