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Finding the Third Proportional to 634,116 and 1,320,612

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Solution

The third proportional to 634,116 and 1,320,612 is: 2,750,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,116 : 1,320,612 = 1,320,612 : x
  2. Step 2: Convert to fraction form
    634,116/1,320,612 = 1,320,612/x
  3. Step 3: Cross multiply
    634,116x = 1,320,612 × 1,320,612
  4. Step 4: Simplify right side
    634,116x = 1,744,016,054,544
  5. Step 5: Solve for x
    x = 1,744,016,054,544/634,116
  6. Step 6: Final answer
    x = 2,750,310.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.