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Finding the Third Proportional to 447,636 and 966,764

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Solution

The third proportional to 447,636 and 966,764 is: 2,087,930.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,636 : 966,764 = 966,764 : x
  2. Step 2: Convert to fraction form
    447,636/966,764 = 966,764/x
  3. Step 3: Cross multiply
    447,636x = 966,764 × 966,764
  4. Step 4: Simplify right side
    447,636x = 934,632,631,696
  5. Step 5: Solve for x
    x = 934,632,631,696/447,636
  6. Step 6: Final answer
    x = 2,087,930.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.