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Finding the Third Proportional to 856,284.75 and 1,882,066.50

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Solution

The third proportional to 856,284.75 and 1,882,066.50 is: 4,136,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,284.75 : 1,882,066.50 = 1,882,066.50 : x
  2. Step 2: Convert to fraction form
    856,284.75/1,882,066.50 = 1,882,066.50/x
  3. Step 3: Cross multiply
    856,284.75x = 1,882,066.50 × 1,882,066.50
  4. Step 4: Simplify right side
    856,284.75x = 3,542,174,310,422.25
  5. Step 5: Solve for x
    x = 3,542,174,310,422.25/856,284.75
  6. Step 6: Final answer
    x = 4,136,678.03

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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.