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Finding the Third Proportional to 727,814 and 1,579,948

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Solution

The third proportional to 727,814 and 1,579,948 is: 3,429,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,814 : 1,579,948 = 1,579,948 : x
  2. Step 2: Convert to fraction form
    727,814/1,579,948 = 1,579,948/x
  3. Step 3: Cross multiply
    727,814x = 1,579,948 × 1,579,948
  4. Step 4: Simplify right side
    727,814x = 2,496,235,682,704
  5. Step 5: Solve for x
    x = 2,496,235,682,704/727,814
  6. Step 6: Final answer
    x = 3,429,771.46

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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.