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Finding the Third Proportional to 625,274 and 1,272,645

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Solution

The third proportional to 625,274 and 1,272,645 is: 2,590,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,274 : 1,272,645 = 1,272,645 : x
  2. Step 2: Convert to fraction form
    625,274/1,272,645 = 1,272,645/x
  3. Step 3: Cross multiply
    625,274x = 1,272,645 × 1,272,645
  4. Step 4: Simplify right side
    625,274x = 1,619,625,296,025
  5. Step 5: Solve for x
    x = 1,619,625,296,025/625,274
  6. Step 6: Final answer
    x = 2,590,264.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.