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Finding the Third Proportional to 2,155,824 and 3,592,823

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Solution

The third proportional to 2,155,824 and 3,592,823 is: 5,987,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155,824 : 3,592,823 = 3,592,823 : x
  2. Step 2: Convert to fraction form
    2,155,824/3,592,823 = 3,592,823/x
  3. Step 3: Cross multiply
    2,155,824x = 3,592,823 × 3,592,823
  4. Step 4: Simplify right side
    2,155,824x = 12,908,377,109,329
  5. Step 5: Solve for x
    x = 12,908,377,109,329/2,155,824
  6. Step 6: Final answer
    x = 5,987,676.69

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.