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Finding the Third Proportional to 552,609 and 1,205,122

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Solution

The third proportional to 552,609 and 1,205,122 is: 2,628,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,609 : 1,205,122 = 1,205,122 : x
  2. Step 2: Convert to fraction form
    552,609/1,205,122 = 1,205,122/x
  3. Step 3: Cross multiply
    552,609x = 1,205,122 × 1,205,122
  4. Step 4: Simplify right side
    552,609x = 1,452,319,034,884
  5. Step 5: Solve for x
    x = 1,452,319,034,884/552,609
  6. Step 6: Final answer
    x = 2,628,113.25

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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.