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Finding the Third Proportional to 749,932 and 1,619,786

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Solution

The third proportional to 749,932 and 1,619,786 is: 3,498,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,932 : 1,619,786 = 1,619,786 : x
  2. Step 2: Convert to fraction form
    749,932/1,619,786 = 1,619,786/x
  3. Step 3: Cross multiply
    749,932x = 1,619,786 × 1,619,786
  4. Step 4: Simplify right side
    749,932x = 2,623,706,685,796
  5. Step 5: Solve for x
    x = 2,623,706,685,796/749,932
  6. Step 6: Final answer
    x = 3,498,592.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.