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Finding the Third Proportional to 673,524 and 1,440,441

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Solution

The third proportional to 673,524 and 1,440,441 is: 3,080,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,524 : 1,440,441 = 1,440,441 : x
  2. Step 2: Convert to fraction form
    673,524/1,440,441 = 1,440,441/x
  3. Step 3: Cross multiply
    673,524x = 1,440,441 × 1,440,441
  4. Step 4: Simplify right side
    673,524x = 2,074,870,274,481
  5. Step 5: Solve for x
    x = 2,074,870,274,481/673,524
  6. Step 6: Final answer
    x = 3,080,618.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.