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Finding the Third Proportional to 441,143 and 966,304

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Solution

The third proportional to 441,143 and 966,304 is: 2,116,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,143 : 966,304 = 966,304 : x
  2. Step 2: Convert to fraction form
    441,143/966,304 = 966,304/x
  3. Step 3: Cross multiply
    441,143x = 966,304 × 966,304
  4. Step 4: Simplify right side
    441,143x = 933,743,420,416
  5. Step 5: Solve for x
    x = 933,743,420,416/441,143
  6. Step 6: Final answer
    x = 2,116,645.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.