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Finding the Third Proportional to 459,778 and 1,002,324

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Solution

The third proportional to 459,778 and 1,002,324 is: 2,185,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,778 : 1,002,324 = 1,002,324 : x
  2. Step 2: Convert to fraction form
    459,778/1,002,324 = 1,002,324/x
  3. Step 3: Cross multiply
    459,778x = 1,002,324 × 1,002,324
  4. Step 4: Simplify right side
    459,778x = 1,004,653,400,976
  5. Step 5: Solve for x
    x = 1,004,653,400,976/459,778
  6. Step 6: Final answer
    x = 2,185,083.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.