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Finding the Third Proportional to 465,621 and 997,654

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Solution

The third proportional to 465,621 and 997,654 is: 2,137,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,621 : 997,654 = 997,654 : x
  2. Step 2: Convert to fraction form
    465,621/997,654 = 997,654/x
  3. Step 3: Cross multiply
    465,621x = 997,654 × 997,654
  4. Step 4: Simplify right side
    465,621x = 995,313,503,716
  5. Step 5: Solve for x
    x = 995,313,503,716/465,621
  6. Step 6: Final answer
    x = 2,137,604.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.