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Finding the Third Proportional to 753,694 and 1,642,901

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Solution

The third proportional to 753,694 and 1,642,901 is: 3,581,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,694 : 1,642,901 = 1,642,901 : x
  2. Step 2: Convert to fraction form
    753,694/1,642,901 = 1,642,901/x
  3. Step 3: Cross multiply
    753,694x = 1,642,901 × 1,642,901
  4. Step 4: Simplify right side
    753,694x = 2,699,123,695,801
  5. Step 5: Solve for x
    x = 2,699,123,695,801/753,694
  6. Step 6: Final answer
    x = 3,581,193.03

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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.