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Finding the Third Proportional to 443,122 and 966,446

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Solution

The third proportional to 443,122 and 966,446 is: 2,107,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,122 : 966,446 = 966,446 : x
  2. Step 2: Convert to fraction form
    443,122/966,446 = 966,446/x
  3. Step 3: Cross multiply
    443,122x = 966,446 × 966,446
  4. Step 4: Simplify right side
    443,122x = 934,017,870,916
  5. Step 5: Solve for x
    x = 934,017,870,916/443,122
  6. Step 6: Final answer
    x = 2,107,812.00

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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.