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Finding the Third Proportional to 574,026 and 1,256,814

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Solution

The third proportional to 574,026 and 1,256,814 is: 2,751,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,026 : 1,256,814 = 1,256,814 : x
  2. Step 2: Convert to fraction form
    574,026/1,256,814 = 1,256,814/x
  3. Step 3: Cross multiply
    574,026x = 1,256,814 × 1,256,814
  4. Step 4: Simplify right side
    574,026x = 1,579,581,430,596
  5. Step 5: Solve for x
    x = 1,579,581,430,596/574,026
  6. Step 6: Final answer
    x = 2,751,759.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.