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Finding the Third Proportional to 834,820.50 and 1,805,769

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Solution

The third proportional to 834,820.50 and 1,805,769 is: 3,905,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,820.50 : 1,805,769 = 1,805,769 : x
  2. Step 2: Convert to fraction form
    834,820.50/1,805,769 = 1,805,769/x
  3. Step 3: Cross multiply
    834,820.50x = 1,805,769 × 1,805,769
  4. Step 4: Simplify right side
    834,820.50x = 3,260,801,681,361
  5. Step 5: Solve for x
    x = 3,260,801,681,361/834,820.50
  6. Step 6: Final answer
    x = 3,905,991.39

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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.