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Finding the Third Proportional to 569,780 and 1,215,832

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Solution

The third proportional to 569,780 and 1,215,832 is: 2,594,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,780 : 1,215,832 = 1,215,832 : x
  2. Step 2: Convert to fraction form
    569,780/1,215,832 = 1,215,832/x
  3. Step 3: Cross multiply
    569,780x = 1,215,832 × 1,215,832
  4. Step 4: Simplify right side
    569,780x = 1,478,247,452,224
  5. Step 5: Solve for x
    x = 1,478,247,452,224/569,780
  6. Step 6: Final answer
    x = 2,594,417.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.