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Finding the Third Proportional to 552,014 and 1,124,327

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Solution

The third proportional to 552,014 and 1,124,327 is: 2,289,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,014 : 1,124,327 = 1,124,327 : x
  2. Step 2: Convert to fraction form
    552,014/1,124,327 = 1,124,327/x
  3. Step 3: Cross multiply
    552,014x = 1,124,327 × 1,124,327
  4. Step 4: Simplify right side
    552,014x = 1,264,111,202,929
  5. Step 5: Solve for x
    x = 1,264,111,202,929/552,014
  6. Step 6: Final answer
    x = 2,289,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.