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Finding the Third Proportional to 2,175,379 and 4,696,668

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Solution

The third proportional to 2,175,379 and 4,696,668 is: 10,140,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175,379 : 4,696,668 = 4,696,668 : x
  2. Step 2: Convert to fraction form
    2,175,379/4,696,668 = 4,696,668/x
  3. Step 3: Cross multiply
    2,175,379x = 4,696,668 × 4,696,668
  4. Step 4: Simplify right side
    2,175,379x = 22,058,690,302,224
  5. Step 5: Solve for x
    x = 22,058,690,302,224/2,175,379
  6. Step 6: Final answer
    x = 10,140,159.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.