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Finding the Third Proportional to 466,817 and 1,021,546

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Solution

The third proportional to 466,817 and 1,021,546 is: 2,235,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,817 : 1,021,546 = 1,021,546 : x
  2. Step 2: Convert to fraction form
    466,817/1,021,546 = 1,021,546/x
  3. Step 3: Cross multiply
    466,817x = 1,021,546 × 1,021,546
  4. Step 4: Simplify right side
    466,817x = 1,043,556,230,116
  5. Step 5: Solve for x
    x = 1,043,556,230,116/466,817
  6. Step 6: Final answer
    x = 2,235,471.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.