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Finding the Third Proportional to 463,564 and 962,654

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Solution

The third proportional to 463,564 and 962,654 is: 1,999,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,564 : 962,654 = 962,654 : x
  2. Step 2: Convert to fraction form
    463,564/962,654 = 962,654/x
  3. Step 3: Cross multiply
    463,564x = 962,654 × 962,654
  4. Step 4: Simplify right side
    463,564x = 926,702,723,716
  5. Step 5: Solve for x
    x = 926,702,723,716/463,564
  6. Step 6: Final answer
    x = 1,999,082.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.