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Finding the Third Proportional to 3,806,355 and 5,471,068.50

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Solution

The third proportional to 3,806,355 and 5,471,068.50 is: 7,863,846.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,355 : 5,471,068.50 = 5,471,068.50 : x
  2. Step 2: Convert to fraction form
    3,806,355/5,471,068.50 = 5,471,068.50/x
  3. Step 3: Cross multiply
    3,806,355x = 5,471,068.50 × 5,471,068.50
  4. Step 4: Simplify right side
    3,806,355x = 29,932,590,531,692.25
  5. Step 5: Solve for x
    x = 29,932,590,531,692.25/3,806,355
  6. Step 6: Final answer
    x = 7,863,846.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.