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Finding the Third Proportional to 501,736 and 1,072,160

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Solution

The third proportional to 501,736 and 1,072,160 is: 2,291,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,736 : 1,072,160 = 1,072,160 : x
  2. Step 2: Convert to fraction form
    501,736/1,072,160 = 1,072,160/x
  3. Step 3: Cross multiply
    501,736x = 1,072,160 × 1,072,160
  4. Step 4: Simplify right side
    501,736x = 1,149,527,065,600
  5. Step 5: Solve for x
    x = 1,149,527,065,600/501,736
  6. Step 6: Final answer
    x = 2,291,099.43

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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.