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Finding the Third Proportional to 831,114 and 1,807,798.50

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Solution

The third proportional to 831,114 and 1,807,798.50 is: 3,932,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,114 : 1,807,798.50 = 1,807,798.50 : x
  2. Step 2: Convert to fraction form
    831,114/1,807,798.50 = 1,807,798.50/x
  3. Step 3: Cross multiply
    831,114x = 1,807,798.50 × 1,807,798.50
  4. Step 4: Simplify right side
    831,114x = 3,268,135,416,602.25
  5. Step 5: Solve for x
    x = 3,268,135,416,602.25/831,114
  6. Step 6: Final answer
    x = 3,932,234.83

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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.