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Finding the Third Proportional to 463,614 and 993,765

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Solution

The third proportional to 463,614 and 993,765 is: 2,130,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,614 : 993,765 = 993,765 : x
  2. Step 2: Convert to fraction form
    463,614/993,765 = 993,765/x
  3. Step 3: Cross multiply
    463,614x = 993,765 × 993,765
  4. Step 4: Simplify right side
    463,614x = 987,568,875,225
  5. Step 5: Solve for x
    x = 987,568,875,225/463,614
  6. Step 6: Final answer
    x = 2,130,153.26

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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.