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Finding the Third Proportional to 1,558,034.25 and 2,330,823

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Solution

The third proportional to 1,558,034.25 and 2,330,823 is: 3,486,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558,034.25 : 2,330,823 = 2,330,823 : x
  2. Step 2: Convert to fraction form
    1,558,034.25/2,330,823 = 2,330,823/x
  3. Step 3: Cross multiply
    1,558,034.25x = 2,330,823 × 2,330,823
  4. Step 4: Simplify right side
    1,558,034.25x = 5,432,735,857,329
  5. Step 5: Solve for x
    x = 5,432,735,857,329/1,558,034.25
  6. Step 6: Final answer
    x = 3,486,916.84

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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.