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Finding the Third Proportional to 834,580 and 1,802,196

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Solution

The third proportional to 834,580 and 1,802,196 is: 3,891,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,580 : 1,802,196 = 1,802,196 : x
  2. Step 2: Convert to fraction form
    834,580/1,802,196 = 1,802,196/x
  3. Step 3: Cross multiply
    834,580x = 1,802,196 × 1,802,196
  4. Step 4: Simplify right side
    834,580x = 3,247,910,422,416
  5. Step 5: Solve for x
    x = 3,247,910,422,416/834,580
  6. Step 6: Final answer
    x = 3,891,670.57

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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.