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Finding the Third Proportional to 560,382 and 1,245,180

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Solution

The third proportional to 560,382 and 1,245,180 is: 2,766,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,382 : 1,245,180 = 1,245,180 : x
  2. Step 2: Convert to fraction form
    560,382/1,245,180 = 1,245,180/x
  3. Step 3: Cross multiply
    560,382x = 1,245,180 × 1,245,180
  4. Step 4: Simplify right side
    560,382x = 1,550,473,232,400
  5. Step 5: Solve for x
    x = 1,550,473,232,400/560,382
  6. Step 6: Final answer
    x = 2,766,814.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.