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Finding the Third Proportional to 562,198 and 1,234,988

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Solution

The third proportional to 562,198 and 1,234,988 is: 2,712,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,198 : 1,234,988 = 1,234,988 : x
  2. Step 2: Convert to fraction form
    562,198/1,234,988 = 1,234,988/x
  3. Step 3: Cross multiply
    562,198x = 1,234,988 × 1,234,988
  4. Step 4: Simplify right side
    562,198x = 1,525,195,360,144
  5. Step 5: Solve for x
    x = 1,525,195,360,144/562,198
  6. Step 6: Final answer
    x = 2,712,914.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.