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Finding the Third Proportional to 788,324 and 1,729,256

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Solution

The third proportional to 788,324 and 1,729,256 is: 3,793,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,324 : 1,729,256 = 1,729,256 : x
  2. Step 2: Convert to fraction form
    788,324/1,729,256 = 1,729,256/x
  3. Step 3: Cross multiply
    788,324x = 1,729,256 × 1,729,256
  4. Step 4: Simplify right side
    788,324x = 2,990,326,313,536
  5. Step 5: Solve for x
    x = 2,990,326,313,536/788,324
  6. Step 6: Final answer
    x = 3,793,270.68

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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.