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Finding the Third Proportional to 451,533 and 980,799

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Solution

The third proportional to 451,533 and 980,799 is: 2,130,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,533 : 980,799 = 980,799 : x
  2. Step 2: Convert to fraction form
    451,533/980,799 = 980,799/x
  3. Step 3: Cross multiply
    451,533x = 980,799 × 980,799
  4. Step 4: Simplify right side
    451,533x = 961,966,678,401
  5. Step 5: Solve for x
    x = 961,966,678,401/451,533
  6. Step 6: Final answer
    x = 2,130,446.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.