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Finding the Third Proportional to 869,376 and 1,794,624

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Solution

The third proportional to 869,376 and 1,794,624 is: 3,704,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,376 : 1,794,624 = 1,794,624 : x
  2. Step 2: Convert to fraction form
    869,376/1,794,624 = 1,794,624/x
  3. Step 3: Cross multiply
    869,376x = 1,794,624 × 1,794,624
  4. Step 4: Simplify right side
    869,376x = 3,220,675,301,376
  5. Step 5: Solve for x
    x = 3,220,675,301,376/869,376
  6. Step 6: Final answer
    x = 3,704,582.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.