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Finding the Third Proportional to 424,944 and 927,168

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Solution

The third proportional to 424,944 and 927,168 is: 2,022,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,944 : 927,168 = 927,168 : x
  2. Step 2: Convert to fraction form
    424,944/927,168 = 927,168/x
  3. Step 3: Cross multiply
    424,944x = 927,168 × 927,168
  4. Step 4: Simplify right side
    424,944x = 859,640,500,224
  5. Step 5: Solve for x
    x = 859,640,500,224/424,944
  6. Step 6: Final answer
    x = 2,022,950.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.