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Finding the Third Proportional to 535,477 and 1,126,176

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Solution

The third proportional to 535,477 and 1,126,176 is: 2,368,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,477 : 1,126,176 = 1,126,176 : x
  2. Step 2: Convert to fraction form
    535,477/1,126,176 = 1,126,176/x
  3. Step 3: Cross multiply
    535,477x = 1,126,176 × 1,126,176
  4. Step 4: Simplify right side
    535,477x = 1,268,272,382,976
  5. Step 5: Solve for x
    x = 1,268,272,382,976/535,477
  6. Step 6: Final answer
    x = 2,368,490.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.