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Finding the Third Proportional to 562,720 and 1,328,368

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Solution

The third proportional to 562,720 and 1,328,368 is: 3,135,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,720 : 1,328,368 = 1,328,368 : x
  2. Step 2: Convert to fraction form
    562,720/1,328,368 = 1,328,368/x
  3. Step 3: Cross multiply
    562,720x = 1,328,368 × 1,328,368
  4. Step 4: Simplify right side
    562,720x = 1,764,561,543,424
  5. Step 5: Solve for x
    x = 1,764,561,543,424/562,720
  6. Step 6: Final answer
    x = 3,135,771.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.