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Finding the Third Proportional to 521,607 and 1,259,181

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Solution

The third proportional to 521,607 and 1,259,181 is: 3,039,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,607 : 1,259,181 = 1,259,181 : x
  2. Step 2: Convert to fraction form
    521,607/1,259,181 = 1,259,181/x
  3. Step 3: Cross multiply
    521,607x = 1,259,181 × 1,259,181
  4. Step 4: Simplify right side
    521,607x = 1,585,536,790,761
  5. Step 5: Solve for x
    x = 1,585,536,790,761/521,607
  6. Step 6: Final answer
    x = 3,039,715.32

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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.