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Finding the Third Proportional to 1,714,252.78 and 2,286,445.22

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Solution

The third proportional to 1,714,252.78 and 2,286,445.22 is: 3,049,627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,252.78 : 2,286,445.22 = 2,286,445.22 : x
  2. Step 2: Convert to fraction form
    1,714,252.78/2,286,445.22 = 2,286,445.22/x
  3. Step 3: Cross multiply
    1,714,252.78x = 2,286,445.22 × 2,286,445.22
  4. Step 4: Simplify right side
    1,714,252.78x = 5,227,831,738,344.74
  5. Step 5: Solve for x
    x = 5,227,831,738,344.74/1,714,252.78
  6. Step 6: Final answer
    x = 3,049,627.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.