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Finding the Third Proportional to 836,146 and 1,838,764

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Solution

The third proportional to 836,146 and 1,838,764 is: 4,043,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,146 : 1,838,764 = 1,838,764 : x
  2. Step 2: Convert to fraction form
    836,146/1,838,764 = 1,838,764/x
  3. Step 3: Cross multiply
    836,146x = 1,838,764 × 1,838,764
  4. Step 4: Simplify right side
    836,146x = 3,381,053,047,696
  5. Step 5: Solve for x
    x = 3,381,053,047,696/836,146
  6. Step 6: Final answer
    x = 4,043,615.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.