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Finding the Third Proportional to 535,896 and 1,172,232

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Solution

The third proportional to 535,896 and 1,172,232 is: 2,564,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,896 : 1,172,232 = 1,172,232 : x
  2. Step 2: Convert to fraction form
    535,896/1,172,232 = 1,172,232/x
  3. Step 3: Cross multiply
    535,896x = 1,172,232 × 1,172,232
  4. Step 4: Simplify right side
    535,896x = 1,374,127,861,824
  5. Step 5: Solve for x
    x = 1,374,127,861,824/535,896
  6. Step 6: Final answer
    x = 2,564,168.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.