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Finding the Third Proportional to 502,416 and 1,092,096

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Solution

The third proportional to 502,416 and 1,092,096 is: 2,373,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,416 : 1,092,096 = 1,092,096 : x
  2. Step 2: Convert to fraction form
    502,416/1,092,096 = 1,092,096/x
  3. Step 3: Cross multiply
    502,416x = 1,092,096 × 1,092,096
  4. Step 4: Simplify right side
    502,416x = 1,192,673,673,216
  5. Step 5: Solve for x
    x = 1,192,673,673,216/502,416
  6. Step 6: Final answer
    x = 2,373,876.77

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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.