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Finding the Third Proportional to 788,326 and 1,729,254

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Solution

The third proportional to 788,326 and 1,729,254 is: 3,793,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,326 : 1,729,254 = 1,729,254 : x
  2. Step 2: Convert to fraction form
    788,326/1,729,254 = 1,729,254/x
  3. Step 3: Cross multiply
    788,326x = 1,729,254 × 1,729,254
  4. Step 4: Simplify right side
    788,326x = 2,990,319,396,516
  5. Step 5: Solve for x
    x = 2,990,319,396,516/788,326
  6. Step 6: Final answer
    x = 3,793,252.28

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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.