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Finding the Third Proportional to 713,200 and 1,566,367

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Solution

The third proportional to 713,200 and 1,566,367 is: 3,440,136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,200 : 1,566,367 = 1,566,367 : x
  2. Step 2: Convert to fraction form
    713,200/1,566,367 = 1,566,367/x
  3. Step 3: Cross multiply
    713,200x = 1,566,367 × 1,566,367
  4. Step 4: Simplify right side
    713,200x = 2,453,505,578,689
  5. Step 5: Solve for x
    x = 2,453,505,578,689/713,200
  6. Step 6: Final answer
    x = 3,440,136.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.