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Finding the Third Proportional to 526,673 and 1,167,232

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Solution

The third proportional to 526,673 and 1,167,232 is: 2,586,862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,673 : 1,167,232 = 1,167,232 : x
  2. Step 2: Convert to fraction form
    526,673/1,167,232 = 1,167,232/x
  3. Step 3: Cross multiply
    526,673x = 1,167,232 × 1,167,232
  4. Step 4: Simplify right side
    526,673x = 1,362,430,541,824
  5. Step 5: Solve for x
    x = 1,362,430,541,824/526,673
  6. Step 6: Final answer
    x = 2,586,862.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.