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Finding the Third Proportional to 504,642 and 1,102,164

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Solution

The third proportional to 504,642 and 1,102,164 is: 2,407,182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,642 : 1,102,164 = 1,102,164 : x
  2. Step 2: Convert to fraction form
    504,642/1,102,164 = 1,102,164/x
  3. Step 3: Cross multiply
    504,642x = 1,102,164 × 1,102,164
  4. Step 4: Simplify right side
    504,642x = 1,214,765,482,896
  5. Step 5: Solve for x
    x = 1,214,765,482,896/504,642
  6. Step 6: Final answer
    x = 2,407,182.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.