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Finding the Third Proportional to 513,358 and 1,236,738

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Solution

The third proportional to 513,358 and 1,236,738 is: 2,979,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,358 : 1,236,738 = 1,236,738 : x
  2. Step 2: Convert to fraction form
    513,358/1,236,738 = 1,236,738/x
  3. Step 3: Cross multiply
    513,358x = 1,236,738 × 1,236,738
  4. Step 4: Simplify right side
    513,358x = 1,529,520,880,644
  5. Step 5: Solve for x
    x = 1,529,520,880,644/513,358
  6. Step 6: Final answer
    x = 2,979,442.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.