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Finding the Third Proportional to 2,710,115 and 4,198,823

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Solution

The third proportional to 2,710,115 and 4,198,823 is: 6,505,301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,115 : 4,198,823 = 4,198,823 : x
  2. Step 2: Convert to fraction form
    2,710,115/4,198,823 = 4,198,823/x
  3. Step 3: Cross multiply
    2,710,115x = 4,198,823 × 4,198,823
  4. Step 4: Simplify right side
    2,710,115x = 17,630,114,585,329
  5. Step 5: Solve for x
    x = 17,630,114,585,329/2,710,115
  6. Step 6: Final answer
    x = 6,505,301.28

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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.