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Finding the Third Proportional to 1,736,973 and 3,827,327

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Solution

The third proportional to 1,736,973 and 3,827,327 is: 8,433,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,973 : 3,827,327 = 3,827,327 : x
  2. Step 2: Convert to fraction form
    1,736,973/3,827,327 = 3,827,327/x
  3. Step 3: Cross multiply
    1,736,973x = 3,827,327 × 3,827,327
  4. Step 4: Simplify right side
    1,736,973x = 14,648,431,964,929
  5. Step 5: Solve for x
    x = 14,648,431,964,929/1,736,973
  6. Step 6: Final answer
    x = 8,433,310.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.