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Finding the Third Proportional to 568,851 and 1,218,663

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Solution

The third proportional to 568,851 and 1,218,663 is: 2,610,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,851 : 1,218,663 = 1,218,663 : x
  2. Step 2: Convert to fraction form
    568,851/1,218,663 = 1,218,663/x
  3. Step 3: Cross multiply
    568,851x = 1,218,663 × 1,218,663
  4. Step 4: Simplify right side
    568,851x = 1,485,139,507,569
  5. Step 5: Solve for x
    x = 1,485,139,507,569/568,851
  6. Step 6: Final answer
    x = 2,610,770.67

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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.