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Finding the Third Proportional to 775,464 and 1,673,136

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Solution

The third proportional to 775,464 and 1,673,136 is: 3,609,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,464 : 1,673,136 = 1,673,136 : x
  2. Step 2: Convert to fraction form
    775,464/1,673,136 = 1,673,136/x
  3. Step 3: Cross multiply
    775,464x = 1,673,136 × 1,673,136
  4. Step 4: Simplify right side
    775,464x = 2,799,384,074,496
  5. Step 5: Solve for x
    x = 2,799,384,074,496/775,464
  6. Step 6: Final answer
    x = 3,609,947.17

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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.