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Finding the Third Proportional to 501,232 and 1,101,712

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Solution

The third proportional to 501,232 and 1,101,712 is: 2,421,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,232 : 1,101,712 = 1,101,712 : x
  2. Step 2: Convert to fraction form
    501,232/1,101,712 = 1,101,712/x
  3. Step 3: Cross multiply
    501,232x = 1,101,712 × 1,101,712
  4. Step 4: Simplify right side
    501,232x = 1,213,769,330,944
  5. Step 5: Solve for x
    x = 1,213,769,330,944/501,232
  6. Step 6: Final answer
    x = 2,421,571.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.