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Finding the Third Proportional to 507,188 and 1,070,956

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Solution

The third proportional to 507,188 and 1,070,956 is: 2,261,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,188 : 1,070,956 = 1,070,956 : x
  2. Step 2: Convert to fraction form
    507,188/1,070,956 = 1,070,956/x
  3. Step 3: Cross multiply
    507,188x = 1,070,956 × 1,070,956
  4. Step 4: Simplify right side
    507,188x = 1,146,946,753,936
  5. Step 5: Solve for x
    x = 1,146,946,753,936/507,188
  6. Step 6: Final answer
    x = 2,261,383.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.