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Finding the Third Proportional to 521,502 and 1,255,914

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Solution

The third proportional to 521,502 and 1,255,914 is: 3,024,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,502 : 1,255,914 = 1,255,914 : x
  2. Step 2: Convert to fraction form
    521,502/1,255,914 = 1,255,914/x
  3. Step 3: Cross multiply
    521,502x = 1,255,914 × 1,255,914
  4. Step 4: Simplify right side
    521,502x = 1,577,319,975,396
  5. Step 5: Solve for x
    x = 1,577,319,975,396/521,502
  6. Step 6: Final answer
    x = 3,024,571.29

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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.