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Finding the Third Proportional to 433,221 and 966,053

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Solution

The third proportional to 433,221 and 966,053 is: 2,154,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,221 : 966,053 = 966,053 : x
  2. Step 2: Convert to fraction form
    433,221/966,053 = 966,053/x
  3. Step 3: Cross multiply
    433,221x = 966,053 × 966,053
  4. Step 4: Simplify right side
    433,221x = 933,258,398,809
  5. Step 5: Solve for x
    x = 933,258,398,809/433,221
  6. Step 6: Final answer
    x = 2,154,231.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.