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Finding the Third Proportional to 775,306 and 1,642,672

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Solution

The third proportional to 775,306 and 1,642,672 is: 3,480,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,306 : 1,642,672 = 1,642,672 : x
  2. Step 2: Convert to fraction form
    775,306/1,642,672 = 1,642,672/x
  3. Step 3: Cross multiply
    775,306x = 1,642,672 × 1,642,672
  4. Step 4: Simplify right side
    775,306x = 2,698,371,299,584
  5. Step 5: Solve for x
    x = 2,698,371,299,584/775,306
  6. Step 6: Final answer
    x = 3,480,395.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.