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Finding the Third Proportional to 793,182 and 1,208,357

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Solution

The third proportional to 793,182 and 1,208,357 is: 1,840,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,182 : 1,208,357 = 1,208,357 : x
  2. Step 2: Convert to fraction form
    793,182/1,208,357 = 1,208,357/x
  3. Step 3: Cross multiply
    793,182x = 1,208,357 × 1,208,357
  4. Step 4: Simplify right side
    793,182x = 1,460,126,639,449
  5. Step 5: Solve for x
    x = 1,460,126,639,449/793,182
  6. Step 6: Final answer
    x = 1,840,846.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.