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Finding the Third Proportional to 550,875 and 1,182,102

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Solution

The third proportional to 550,875 and 1,182,102 is: 2,536,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,875 : 1,182,102 = 1,182,102 : x
  2. Step 2: Convert to fraction form
    550,875/1,182,102 = 1,182,102/x
  3. Step 3: Cross multiply
    550,875x = 1,182,102 × 1,182,102
  4. Step 4: Simplify right side
    550,875x = 1,397,365,138,404
  5. Step 5: Solve for x
    x = 1,397,365,138,404/550,875
  6. Step 6: Final answer
    x = 2,536,628.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.