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Finding the Third Proportional to 834,817.50 and 1,805,763

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Solution

The third proportional to 834,817.50 and 1,805,763 is: 3,905,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,817.50 : 1,805,763 = 1,805,763 : x
  2. Step 2: Convert to fraction form
    834,817.50/1,805,763 = 1,805,763/x
  3. Step 3: Cross multiply
    834,817.50x = 1,805,763 × 1,805,763
  4. Step 4: Simplify right side
    834,817.50x = 3,260,780,012,169
  5. Step 5: Solve for x
    x = 3,260,780,012,169/834,817.50
  6. Step 6: Final answer
    x = 3,905,979.47

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Why These Related Problems?

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