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Finding the Third Proportional to 2,091,810 and 3,197,823

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Solution

The third proportional to 2,091,810 and 3,197,823 is: 4,888,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,810 : 3,197,823 = 3,197,823 : x
  2. Step 2: Convert to fraction form
    2,091,810/3,197,823 = 3,197,823/x
  3. Step 3: Cross multiply
    2,091,810x = 3,197,823 × 3,197,823
  4. Step 4: Simplify right side
    2,091,810x = 10,226,071,939,329
  5. Step 5: Solve for x
    x = 10,226,071,939,329/2,091,810
  6. Step 6: Final answer
    x = 4,888,623.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.