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Finding the Third Proportional to 501,384 and 1,094,232

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Solution

The third proportional to 501,384 and 1,094,232 is: 2,388,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,384 : 1,094,232 = 1,094,232 : x
  2. Step 2: Convert to fraction form
    501,384/1,094,232 = 1,094,232/x
  3. Step 3: Cross multiply
    501,384x = 1,094,232 × 1,094,232
  4. Step 4: Simplify right side
    501,384x = 1,197,343,669,824
  5. Step 5: Solve for x
    x = 1,197,343,669,824/501,384
  6. Step 6: Final answer
    x = 2,388,077.14

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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.