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Finding the Third Proportional to 459,163 and 999,647

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Solution

The third proportional to 459,163 and 999,647 is: 2,176,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,163 : 999,647 = 999,647 : x
  2. Step 2: Convert to fraction form
    459,163/999,647 = 999,647/x
  3. Step 3: Cross multiply
    459,163x = 999,647 × 999,647
  4. Step 4: Simplify right side
    459,163x = 999,294,124,609
  5. Step 5: Solve for x
    x = 999,294,124,609/459,163
  6. Step 6: Final answer
    x = 2,176,338.52

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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.