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Finding the Third Proportional to 499,210 and 1,077,150

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Solution

The third proportional to 499,210 and 1,077,150 is: 2,324,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,210 : 1,077,150 = 1,077,150 : x
  2. Step 2: Convert to fraction form
    499,210/1,077,150 = 1,077,150/x
  3. Step 3: Cross multiply
    499,210x = 1,077,150 × 1,077,150
  4. Step 4: Simplify right side
    499,210x = 1,160,252,122,500
  5. Step 5: Solve for x
    x = 1,160,252,122,500/499,210
  6. Step 6: Final answer
    x = 2,324,176.44

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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.