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Finding the Third Proportional to 2,163,409 and 4,616,379

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Solution

The third proportional to 2,163,409 and 4,616,379 is: 9,850,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,409 : 4,616,379 = 4,616,379 : x
  2. Step 2: Convert to fraction form
    2,163,409/4,616,379 = 4,616,379/x
  3. Step 3: Cross multiply
    2,163,409x = 4,616,379 × 4,616,379
  4. Step 4: Simplify right side
    2,163,409x = 21,310,955,071,641
  5. Step 5: Solve for x
    x = 21,310,955,071,641/2,163,409
  6. Step 6: Final answer
    x = 9,850,636.23

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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.