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Finding the Third Proportional to 733,744 and 1,589,618

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Solution

The third proportional to 733,744 and 1,589,618 is: 3,443,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,744 : 1,589,618 = 1,589,618 : x
  2. Step 2: Convert to fraction form
    733,744/1,589,618 = 1,589,618/x
  3. Step 3: Cross multiply
    733,744x = 1,589,618 × 1,589,618
  4. Step 4: Simplify right side
    733,744x = 2,526,885,385,924
  5. Step 5: Solve for x
    x = 2,526,885,385,924/733,744
  6. Step 6: Final answer
    x = 3,443,824.26

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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.