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Finding the Third Proportional to 619,372 and 1,356,842

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Solution

The third proportional to 619,372 and 1,356,842 is: 2,972,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,372 : 1,356,842 = 1,356,842 : x
  2. Step 2: Convert to fraction form
    619,372/1,356,842 = 1,356,842/x
  3. Step 3: Cross multiply
    619,372x = 1,356,842 × 1,356,842
  4. Step 4: Simplify right side
    619,372x = 1,841,020,212,964
  5. Step 5: Solve for x
    x = 1,841,020,212,964/619,372
  6. Step 6: Final answer
    x = 2,972,398.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.