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Finding the Third Proportional to 834,818 and 1,805,764

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Solution

The third proportional to 834,818 and 1,805,764 is: 3,905,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,818 : 1,805,764 = 1,805,764 : x
  2. Step 2: Convert to fraction form
    834,818/1,805,764 = 1,805,764/x
  3. Step 3: Cross multiply
    834,818x = 1,805,764 × 1,805,764
  4. Step 4: Simplify right side
    834,818x = 3,260,783,623,696
  5. Step 5: Solve for x
    x = 3,260,783,623,696/834,818
  6. Step 6: Final answer
    x = 3,905,981.45

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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.