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Finding the Third Proportional to 562,563 and 1,146,015

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Solution

The third proportional to 562,563 and 1,146,015 is: 2,334,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,563 : 1,146,015 = 1,146,015 : x
  2. Step 2: Convert to fraction form
    562,563/1,146,015 = 1,146,015/x
  3. Step 3: Cross multiply
    562,563x = 1,146,015 × 1,146,015
  4. Step 4: Simplify right side
    562,563x = 1,313,350,380,225
  5. Step 5: Solve for x
    x = 1,313,350,380,225/562,563
  6. Step 6: Final answer
    x = 2,334,583.65

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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.