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Finding the Third Proportional to 484,957 and 1,047,350

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Solution

The third proportional to 484,957 and 1,047,350 is: 2,261,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,957 : 1,047,350 = 1,047,350 : x
  2. Step 2: Convert to fraction form
    484,957/1,047,350 = 1,047,350/x
  3. Step 3: Cross multiply
    484,957x = 1,047,350 × 1,047,350
  4. Step 4: Simplify right side
    484,957x = 1,096,942,022,500
  5. Step 5: Solve for x
    x = 1,096,942,022,500/484,957
  6. Step 6: Final answer
    x = 2,261,936.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.