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Finding the Third Proportional to 499,205 and 1,077,142

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Solution

The third proportional to 499,205 and 1,077,142 is: 2,324,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,205 : 1,077,142 = 1,077,142 : x
  2. Step 2: Convert to fraction form
    499,205/1,077,142 = 1,077,142/x
  3. Step 3: Cross multiply
    499,205x = 1,077,142 × 1,077,142
  4. Step 4: Simplify right side
    499,205x = 1,160,234,888,164
  5. Step 5: Solve for x
    x = 1,160,234,888,164/499,205
  6. Step 6: Final answer
    x = 2,324,165.20

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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.