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Finding the Third Proportional to 788,424 and 1,729,452

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Solution

The third proportional to 788,424 and 1,729,452 is: 3,793,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,424 : 1,729,452 = 1,729,452 : x
  2. Step 2: Convert to fraction form
    788,424/1,729,452 = 1,729,452/x
  3. Step 3: Cross multiply
    788,424x = 1,729,452 × 1,729,452
  4. Step 4: Simplify right side
    788,424x = 2,991,004,220,304
  5. Step 5: Solve for x
    x = 2,991,004,220,304/788,424
  6. Step 6: Final answer
    x = 3,793,649.38

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