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Finding the Third Proportional to 514,169 and 1,114,146

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Solution

The third proportional to 514,169 and 1,114,146 is: 2,414,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,169 : 1,114,146 = 1,114,146 : x
  2. Step 2: Convert to fraction form
    514,169/1,114,146 = 1,114,146/x
  3. Step 3: Cross multiply
    514,169x = 1,114,146 × 1,114,146
  4. Step 4: Simplify right side
    514,169x = 1,241,321,309,316
  5. Step 5: Solve for x
    x = 1,241,321,309,316/514,169
  6. Step 6: Final answer
    x = 2,414,228.22

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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.