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Finding the Third Proportional to 834,160 and 1,786,400

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Solution

The third proportional to 834,160 and 1,786,400 is: 3,825,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,160 : 1,786,400 = 1,786,400 : x
  2. Step 2: Convert to fraction form
    834,160/1,786,400 = 1,786,400/x
  3. Step 3: Cross multiply
    834,160x = 1,786,400 × 1,786,400
  4. Step 4: Simplify right side
    834,160x = 3,191,224,960,000
  5. Step 5: Solve for x
    x = 3,191,224,960,000/834,160
  6. Step 6: Final answer
    x = 3,825,674.88

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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.