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Finding the Third Proportional to 521,532 and 1,255,968

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Solution

The third proportional to 521,532 and 1,255,968 is: 3,024,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,532 : 1,255,968 = 1,255,968 : x
  2. Step 2: Convert to fraction form
    521,532/1,255,968 = 1,255,968/x
  3. Step 3: Cross multiply
    521,532x = 1,255,968 × 1,255,968
  4. Step 4: Simplify right side
    521,532x = 1,577,455,617,024
  5. Step 5: Solve for x
    x = 1,577,455,617,024/521,532
  6. Step 6: Final answer
    x = 3,024,657.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.