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Finding the Third Proportional to 639,756 and 1,358,232

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Solution

The third proportional to 639,756 and 1,358,232 is: 2,883,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,756 : 1,358,232 = 1,358,232 : x
  2. Step 2: Convert to fraction form
    639,756/1,358,232 = 1,358,232/x
  3. Step 3: Cross multiply
    639,756x = 1,358,232 × 1,358,232
  4. Step 4: Simplify right side
    639,756x = 1,844,794,165,824
  5. Step 5: Solve for x
    x = 1,844,794,165,824/639,756
  6. Step 6: Final answer
    x = 2,883,590.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.