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Finding the Third Proportional to 796,256 and 1,732,473

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Solution

The third proportional to 796,256 and 1,732,473 is: 3,769,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,256 : 1,732,473 = 1,732,473 : x
  2. Step 2: Convert to fraction form
    796,256/1,732,473 = 1,732,473/x
  3. Step 3: Cross multiply
    796,256x = 1,732,473 × 1,732,473
  4. Step 4: Simplify right side
    796,256x = 3,001,462,695,729
  5. Step 5: Solve for x
    x = 3,001,462,695,729/796,256
  6. Step 6: Final answer
    x = 3,769,469.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.