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Finding the Third Proportional to 2,163,417 and 4,616,395

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Solution

The third proportional to 2,163,417 and 4,616,395 is: 9,850,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,417 : 4,616,395 = 4,616,395 : x
  2. Step 2: Convert to fraction form
    2,163,417/4,616,395 = 4,616,395/x
  3. Step 3: Cross multiply
    2,163,417x = 4,616,395 × 4,616,395
  4. Step 4: Simplify right side
    2,163,417x = 21,311,102,796,025
  5. Step 5: Solve for x
    x = 21,311,102,796,025/2,163,417
  6. Step 6: Final answer
    x = 9,850,668.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.