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Finding the Third Proportional to 1,519,717 and 3,291,623

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Solution

The third proportional to 1,519,717 and 3,291,623 is: 7,129,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,717 : 3,291,623 = 3,291,623 : x
  2. Step 2: Convert to fraction form
    1,519,717/3,291,623 = 3,291,623/x
  3. Step 3: Cross multiply
    1,519,717x = 3,291,623 × 3,291,623
  4. Step 4: Simplify right side
    1,519,717x = 10,834,781,974,129
  5. Step 5: Solve for x
    x = 10,834,781,974,129/1,519,717
  6. Step 6: Final answer
    x = 7,129,473.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.