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Finding the Third Proportional to 501,772 and 1,085,332

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Solution

The third proportional to 501,772 and 1,085,332 is: 2,347,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,772 : 1,085,332 = 1,085,332 : x
  2. Step 2: Convert to fraction form
    501,772/1,085,332 = 1,085,332/x
  3. Step 3: Cross multiply
    501,772x = 1,085,332 × 1,085,332
  4. Step 4: Simplify right side
    501,772x = 1,177,945,550,224
  5. Step 5: Solve for x
    x = 1,177,945,550,224/501,772
  6. Step 6: Final answer
    x = 2,347,571.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.