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Finding the Third Proportional to 521,424 and 1,142,480

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Solution

The third proportional to 521,424 and 1,142,480 is: 2,503,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,424 : 1,142,480 = 1,142,480 : x
  2. Step 2: Convert to fraction form
    521,424/1,142,480 = 1,142,480/x
  3. Step 3: Cross multiply
    521,424x = 1,142,480 × 1,142,480
  4. Step 4: Simplify right side
    521,424x = 1,305,260,550,400
  5. Step 5: Solve for x
    x = 1,305,260,550,400/521,424
  6. Step 6: Final answer
    x = 2,503,261.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.