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Finding the Third Proportional to 1,521,500 and 2,354,678

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Solution

The third proportional to 1,521,500 and 2,354,678 is: 3,644,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521,500 : 2,354,678 = 2,354,678 : x
  2. Step 2: Convert to fraction form
    1,521,500/2,354,678 = 2,354,678/x
  3. Step 3: Cross multiply
    1,521,500x = 2,354,678 × 2,354,678
  4. Step 4: Simplify right side
    1,521,500x = 5,544,508,483,684
  5. Step 5: Solve for x
    x = 5,544,508,483,684/1,521,500
  6. Step 6: Final answer
    x = 3,644,106.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.