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Finding the Third Proportional to 788,326 and 1,729,257

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Solution

The third proportional to 788,326 and 1,729,257 is: 3,793,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,326 : 1,729,257 = 1,729,257 : x
  2. Step 2: Convert to fraction form
    788,326/1,729,257 = 1,729,257/x
  3. Step 3: Cross multiply
    788,326x = 1,729,257 × 1,729,257
  4. Step 4: Simplify right side
    788,326x = 2,990,329,772,049
  5. Step 5: Solve for x
    x = 2,990,329,772,049/788,326
  6. Step 6: Final answer
    x = 3,793,265.44

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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.