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Finding the Third Proportional to 752,256 and 1,099,557

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Solution

The third proportional to 752,256 and 1,099,557 is: 1,607,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,256 : 1,099,557 = 1,099,557 : x
  2. Step 2: Convert to fraction form
    752,256/1,099,557 = 1,099,557/x
  3. Step 3: Cross multiply
    752,256x = 1,099,557 × 1,099,557
  4. Step 4: Simplify right side
    752,256x = 1,209,025,596,249
  5. Step 5: Solve for x
    x = 1,209,025,596,249/752,256
  6. Step 6: Final answer
    x = 1,607,199.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.