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Finding the Third Proportional to 466,765.50 and 1,017,999

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Solution

The third proportional to 466,765.50 and 1,017,999 is: 2,220,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,765.50 : 1,017,999 = 1,017,999 : x
  2. Step 2: Convert to fraction form
    466,765.50/1,017,999 = 1,017,999/x
  3. Step 3: Cross multiply
    466,765.50x = 1,017,999 × 1,017,999
  4. Step 4: Simplify right side
    466,765.50x = 1,036,321,964,001
  5. Step 5: Solve for x
    x = 1,036,321,964,001/466,765.50
  6. Step 6: Final answer
    x = 2,220,219.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.