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Finding the Third Proportional to 546,174 and 1,114,035

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Solution

The third proportional to 546,174 and 1,114,035 is: 2,272,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,174 : 1,114,035 = 1,114,035 : x
  2. Step 2: Convert to fraction form
    546,174/1,114,035 = 1,114,035/x
  3. Step 3: Cross multiply
    546,174x = 1,114,035 × 1,114,035
  4. Step 4: Simplify right side
    546,174x = 1,241,073,981,225
  5. Step 5: Solve for x
    x = 1,241,073,981,225/546,174
  6. Step 6: Final answer
    x = 2,272,305.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.