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Finding the Third Proportional to 1,786,528.50 and 3,894,243

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Solution

The third proportional to 1,786,528.50 and 3,894,243 is: 8,488,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,528.50 : 3,894,243 = 3,894,243 : x
  2. Step 2: Convert to fraction form
    1,786,528.50/3,894,243 = 3,894,243/x
  3. Step 3: Cross multiply
    1,786,528.50x = 3,894,243 × 3,894,243
  4. Step 4: Simplify right side
    1,786,528.50x = 15,165,128,543,049
  5. Step 5: Solve for x
    x = 15,165,128,543,049/1,786,528.50
  6. Step 6: Final answer
    x = 8,488,601.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.