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Finding the Third Proportional to 832,702 and 1,815,999.50

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Solution

The third proportional to 832,702 and 1,815,999.50 is: 3,960,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,702 : 1,815,999.50 = 1,815,999.50 : x
  2. Step 2: Convert to fraction form
    832,702/1,815,999.50 = 1,815,999.50/x
  3. Step 3: Cross multiply
    832,702x = 1,815,999.50 × 1,815,999.50
  4. Step 4: Simplify right side
    832,702x = 3,297,854,184,000.25
  5. Step 5: Solve for x
    x = 3,297,854,184,000.25/832,702
  6. Step 6: Final answer
    x = 3,960,425.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.