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Finding the Third Proportional to 443,109 and 966,417

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Solution

The third proportional to 443,109 and 966,417 is: 2,107,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,109 : 966,417 = 966,417 : x
  2. Step 2: Convert to fraction form
    443,109/966,417 = 966,417/x
  3. Step 3: Cross multiply
    443,109x = 966,417 × 966,417
  4. Step 4: Simplify right side
    443,109x = 933,961,817,889
  5. Step 5: Solve for x
    x = 933,961,817,889/443,109
  6. Step 6: Final answer
    x = 2,107,747.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.