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Finding the Third Proportional to 788,186 and 1,639,275

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Solution

The third proportional to 788,186 and 1,639,275 is: 3,409,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,186 : 1,639,275 = 1,639,275 : x
  2. Step 2: Convert to fraction form
    788,186/1,639,275 = 1,639,275/x
  3. Step 3: Cross multiply
    788,186x = 1,639,275 × 1,639,275
  4. Step 4: Simplify right side
    788,186x = 2,687,222,525,625
  5. Step 5: Solve for x
    x = 2,687,222,525,625/788,186
  6. Step 6: Final answer
    x = 3,409,376.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.