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Finding the Third Proportional to 609,260 and 1,320,208

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Solution

The third proportional to 609,260 and 1,320,208 is: 2,860,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,260 : 1,320,208 = 1,320,208 : x
  2. Step 2: Convert to fraction form
    609,260/1,320,208 = 1,320,208/x
  3. Step 3: Cross multiply
    609,260x = 1,320,208 × 1,320,208
  4. Step 4: Simplify right side
    609,260x = 1,742,949,163,264
  5. Step 5: Solve for x
    x = 1,742,949,163,264/609,260
  6. Step 6: Final answer
    x = 2,860,764.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.