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Finding the Third Proportional to 775,528.88 and 1,164,114

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Solution

The third proportional to 775,528.88 and 1,164,114 is: 1,747,402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,528.88 : 1,164,114 = 1,164,114 : x
  2. Step 2: Convert to fraction form
    775,528.88/1,164,114 = 1,164,114/x
  3. Step 3: Cross multiply
    775,528.88x = 1,164,114 × 1,164,114
  4. Step 4: Simplify right side
    775,528.88x = 1,355,161,404,996
  5. Step 5: Solve for x
    x = 1,355,161,404,996/775,528.88
  6. Step 6: Final answer
    x = 1,747,402.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.