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Finding the Third Proportional to 2,592,900 and 3,925,122

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Solution

The third proportional to 2,592,900 and 3,925,122 is: 5,941,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592,900 : 3,925,122 = 3,925,122 : x
  2. Step 2: Convert to fraction form
    2,592,900/3,925,122 = 3,925,122/x
  3. Step 3: Cross multiply
    2,592,900x = 3,925,122 × 3,925,122
  4. Step 4: Simplify right side
    2,592,900x = 15,406,582,714,884
  5. Step 5: Solve for x
    x = 15,406,582,714,884/2,592,900
  6. Step 6: Final answer
    x = 5,941,834.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.