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Finding the Third Proportional to 1,204,623 and 2,607,705

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Solution

The third proportional to 1,204,623 and 2,607,705 is: 5,645,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,623 : 2,607,705 = 2,607,705 : x
  2. Step 2: Convert to fraction form
    1,204,623/2,607,705 = 2,607,705/x
  3. Step 3: Cross multiply
    1,204,623x = 2,607,705 × 2,607,705
  4. Step 4: Simplify right side
    1,204,623x = 6,800,125,367,025
  5. Step 5: Solve for x
    x = 6,800,125,367,025/1,204,623
  6. Step 6: Final answer
    x = 5,645,023.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.