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Finding the Third Proportional to 465,773 and 997,947

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Solution

The third proportional to 465,773 and 997,947 is: 2,138,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,773 : 997,947 = 997,947 : x
  2. Step 2: Convert to fraction form
    465,773/997,947 = 997,947/x
  3. Step 3: Cross multiply
    465,773x = 997,947 × 997,947
  4. Step 4: Simplify right side
    465,773x = 995,898,214,809
  5. Step 5: Solve for x
    x = 995,898,214,809/465,773
  6. Step 6: Final answer
    x = 2,138,162.18

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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.