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Finding the Third Proportional to 565,508 and 1,170,382

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Solution

The third proportional to 565,508 and 1,170,382 is: 2,422,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,508 : 1,170,382 = 1,170,382 : x
  2. Step 2: Convert to fraction form
    565,508/1,170,382 = 1,170,382/x
  3. Step 3: Cross multiply
    565,508x = 1,170,382 × 1,170,382
  4. Step 4: Simplify right side
    565,508x = 1,369,794,025,924
  5. Step 5: Solve for x
    x = 1,369,794,025,924/565,508
  6. Step 6: Final answer
    x = 2,422,236.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.