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Finding the Third Proportional to 893,682 and 1,915,296

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Solution

The third proportional to 893,682 and 1,915,296 is: 4,104,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,682 : 1,915,296 = 1,915,296 : x
  2. Step 2: Convert to fraction form
    893,682/1,915,296 = 1,915,296/x
  3. Step 3: Cross multiply
    893,682x = 1,915,296 × 1,915,296
  4. Step 4: Simplify right side
    893,682x = 3,668,358,767,616
  5. Step 5: Solve for x
    x = 3,668,358,767,616/893,682
  6. Step 6: Final answer
    x = 4,104,769.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.