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Finding the Third Proportional to 1,051,512 and 2,280,174

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Solution

The third proportional to 1,051,512 and 2,280,174 is: 4,944,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,512 : 2,280,174 = 2,280,174 : x
  2. Step 2: Convert to fraction form
    1,051,512/2,280,174 = 2,280,174/x
  3. Step 3: Cross multiply
    1,051,512x = 2,280,174 × 2,280,174
  4. Step 4: Simplify right side
    1,051,512x = 5,199,193,470,276
  5. Step 5: Solve for x
    x = 5,199,193,470,276/1,051,512
  6. Step 6: Final answer
    x = 4,944,492.76

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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.