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Finding the Third Proportional to 768,606 and 1,094,893

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Solution

The third proportional to 768,606 and 1,094,893 is: 1,559,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,606 : 1,094,893 = 1,094,893 : x
  2. Step 2: Convert to fraction form
    768,606/1,094,893 = 1,094,893/x
  3. Step 3: Cross multiply
    768,606x = 1,094,893 × 1,094,893
  4. Step 4: Simplify right side
    768,606x = 1,198,790,681,449
  5. Step 5: Solve for x
    x = 1,198,790,681,449/768,606
  6. Step 6: Final answer
    x = 1,559,694.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.