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Finding the Third Proportional to 620,768 and 949,184

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Solution

The third proportional to 620,768 and 949,184 is: 1,451,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,768 : 949,184 = 949,184 : x
  2. Step 2: Convert to fraction form
    620,768/949,184 = 949,184/x
  3. Step 3: Cross multiply
    620,768x = 949,184 × 949,184
  4. Step 4: Simplify right side
    620,768x = 900,950,265,856
  5. Step 5: Solve for x
    x = 900,950,265,856/620,768
  6. Step 6: Final answer
    x = 1,451,347.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.