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Finding the Third Proportional to 611,361.75 and 1,438,508.63

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Solution

The third proportional to 611,361.75 and 1,438,508.63 is: 3,384,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,361.75 : 1,438,508.63 = 1,438,508.63 : x
  2. Step 2: Convert to fraction form
    611,361.75/1,438,508.63 = 1,438,508.63/x
  3. Step 3: Cross multiply
    611,361.75x = 1,438,508.63 × 1,438,508.63
  4. Step 4: Simplify right side
    611,361.75x = 2,069,307,064,199.39
  5. Step 5: Solve for x
    x = 2,069,307,064,199.39/611,361.75
  6. Step 6: Final answer
    x = 3,384,750.62

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.