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Finding the Third Proportional to 588,910 and 918,358

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Solution

The third proportional to 588,910 and 918,358 is: 1,432,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,910 : 918,358 = 918,358 : x
  2. Step 2: Convert to fraction form
    588,910/918,358 = 918,358/x
  3. Step 3: Cross multiply
    588,910x = 918,358 × 918,358
  4. Step 4: Simplify right side
    588,910x = 843,381,416,164
  5. Step 5: Solve for x
    x = 843,381,416,164/588,910
  6. Step 6: Final answer
    x = 1,432,105.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.