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Finding the Third Proportional to 697,122 and 1,519,996

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Solution

The third proportional to 697,122 and 1,519,996 is: 3,314,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,122 : 1,519,996 = 1,519,996 : x
  2. Step 2: Convert to fraction form
    697,122/1,519,996 = 1,519,996/x
  3. Step 3: Cross multiply
    697,122x = 1,519,996 × 1,519,996
  4. Step 4: Simplify right side
    697,122x = 2,310,387,840,016
  5. Step 5: Solve for x
    x = 2,310,387,840,016/697,122
  6. Step 6: Final answer
    x = 3,314,180.07

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Why These Related Problems?

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