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Finding the Third Proportional to 834,032 and 1,786,160

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Solution

The third proportional to 834,032 and 1,786,160 is: 3,825,233.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,032 : 1,786,160 = 1,786,160 : x
  2. Step 2: Convert to fraction form
    834,032/1,786,160 = 1,786,160/x
  3. Step 3: Cross multiply
    834,032x = 1,786,160 × 1,786,160
  4. Step 4: Simplify right side
    834,032x = 3,190,367,545,600
  5. Step 5: Solve for x
    x = 3,190,367,545,600/834,032
  6. Step 6: Final answer
    x = 3,825,233.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.