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Finding the Third Proportional to 834,564 and 1,802,166

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Solution

The third proportional to 834,564 and 1,802,166 is: 3,891,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,564 : 1,802,166 = 1,802,166 : x
  2. Step 2: Convert to fraction form
    834,564/1,802,166 = 1,802,166/x
  3. Step 3: Cross multiply
    834,564x = 1,802,166 × 1,802,166
  4. Step 4: Simplify right side
    834,564x = 3,247,802,291,556
  5. Step 5: Solve for x
    x = 3,247,802,291,556/834,564
  6. Step 6: Final answer
    x = 3,891,615.61

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