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Finding the Third Proportional to 792,198 and 1,710,656

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Solution

The third proportional to 792,198 and 1,710,656 is: 3,693,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,198 : 1,710,656 = 1,710,656 : x
  2. Step 2: Convert to fraction form
    792,198/1,710,656 = 1,710,656/x
  3. Step 3: Cross multiply
    792,198x = 1,710,656 × 1,710,656
  4. Step 4: Simplify right side
    792,198x = 2,926,343,950,336
  5. Step 5: Solve for x
    x = 2,926,343,950,336/792,198
  6. Step 6: Final answer
    x = 3,693,955.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.