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Finding the Third Proportional to 514,176 and 1,114,161

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Solution

The third proportional to 514,176 and 1,114,161 is: 2,414,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,176 : 1,114,161 = 1,114,161 : x
  2. Step 2: Convert to fraction form
    514,176/1,114,161 = 1,114,161/x
  3. Step 3: Cross multiply
    514,176x = 1,114,161 × 1,114,161
  4. Step 4: Simplify right side
    514,176x = 1,241,354,733,921
  5. Step 5: Solve for x
    x = 1,241,354,733,921/514,176
  6. Step 6: Final answer
    x = 2,414,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.