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Finding the Third Proportional to 514,174 and 1,114,158

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Solution

The third proportional to 514,174 and 1,114,158 is: 2,414,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,174 : 1,114,158 = 1,114,158 : x
  2. Step 2: Convert to fraction form
    514,174/1,114,158 = 1,114,158/x
  3. Step 3: Cross multiply
    514,174x = 1,114,158 × 1,114,158
  4. Step 4: Simplify right side
    514,174x = 1,241,348,048,964
  5. Step 5: Solve for x
    x = 1,241,348,048,964/514,174
  6. Step 6: Final answer
    x = 2,414,256.75

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