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Finding the Third Proportional to 768,588 and 1,227,831

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Solution

The third proportional to 768,588 and 1,227,831 is: 1,961,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,588 : 1,227,831 = 1,227,831 : x
  2. Step 2: Convert to fraction form
    768,588/1,227,831 = 1,227,831/x
  3. Step 3: Cross multiply
    768,588x = 1,227,831 × 1,227,831
  4. Step 4: Simplify right side
    768,588x = 1,507,568,964,561
  5. Step 5: Solve for x
    x = 1,507,568,964,561/768,588
  6. Step 6: Final answer
    x = 1,961,478.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.