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Finding the Third Proportional to 422,609 and 996,618

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Solution

The third proportional to 422,609 and 996,618 is: 2,350,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,609 : 996,618 = 996,618 : x
  2. Step 2: Convert to fraction form
    422,609/996,618 = 996,618/x
  3. Step 3: Cross multiply
    422,609x = 996,618 × 996,618
  4. Step 4: Simplify right side
    422,609x = 993,247,437,924
  5. Step 5: Solve for x
    x = 993,247,437,924/422,609
  6. Step 6: Final answer
    x = 2,350,275.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.