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Finding the Third Proportional to 634,176 and 1,330,662

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Solution

The third proportional to 634,176 and 1,330,662 is: 2,792,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,176 : 1,330,662 = 1,330,662 : x
  2. Step 2: Convert to fraction form
    634,176/1,330,662 = 1,330,662/x
  3. Step 3: Cross multiply
    634,176x = 1,330,662 × 1,330,662
  4. Step 4: Simplify right side
    634,176x = 1,770,661,358,244
  5. Step 5: Solve for x
    x = 1,770,661,358,244/634,176
  6. Step 6: Final answer
    x = 2,792,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.