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Finding the Third Proportional to 652,323 and 1,322,175

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Solution

The third proportional to 652,323 and 1,322,175 is: 2,679,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,323 : 1,322,175 = 1,322,175 : x
  2. Step 2: Convert to fraction form
    652,323/1,322,175 = 1,322,175/x
  3. Step 3: Cross multiply
    652,323x = 1,322,175 × 1,322,175
  4. Step 4: Simplify right side
    652,323x = 1,748,146,730,625
  5. Step 5: Solve for x
    x = 1,748,146,730,625/652,323
  6. Step 6: Final answer
    x = 2,679,879.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.