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Finding the Third Proportional to 451,314 and 980,433

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Solution

The third proportional to 451,314 and 980,433 is: 2,129,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,314 : 980,433 = 980,433 : x
  2. Step 2: Convert to fraction form
    451,314/980,433 = 980,433/x
  3. Step 3: Cross multiply
    451,314x = 980,433 × 980,433
  4. Step 4: Simplify right side
    451,314x = 961,248,867,489
  5. Step 5: Solve for x
    x = 961,248,867,489/451,314
  6. Step 6: Final answer
    x = 2,129,889.32

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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.