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Finding the Third Proportional to 612,220 and 1,324,169

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Solution

The third proportional to 612,220 and 1,324,169 is: 2,864,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,220 : 1,324,169 = 1,324,169 : x
  2. Step 2: Convert to fraction form
    612,220/1,324,169 = 1,324,169/x
  3. Step 3: Cross multiply
    612,220x = 1,324,169 × 1,324,169
  4. Step 4: Simplify right side
    612,220x = 1,753,423,540,561
  5. Step 5: Solve for x
    x = 1,753,423,540,561/612,220
  6. Step 6: Final answer
    x = 2,864,041.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.