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Finding the Third Proportional to 1,304,665.50 and 2,646,015

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Solution

The third proportional to 1,304,665.50 and 2,646,015 is: 5,366,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304,665.50 : 2,646,015 = 2,646,015 : x
  2. Step 2: Convert to fraction form
    1,304,665.50/2,646,015 = 2,646,015/x
  3. Step 3: Cross multiply
    1,304,665.50x = 2,646,015 × 2,646,015
  4. Step 4: Simplify right side
    1,304,665.50x = 7,001,395,380,225
  5. Step 5: Solve for x
    x = 7,001,395,380,225/1,304,665.50
  6. Step 6: Final answer
    x = 5,366,429.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.