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Finding the Third Proportional to 562,112 and 1,218,280

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Solution

The third proportional to 562,112 and 1,218,280 is: 2,640,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,112 : 1,218,280 = 1,218,280 : x
  2. Step 2: Convert to fraction form
    562,112/1,218,280 = 1,218,280/x
  3. Step 3: Cross multiply
    562,112x = 1,218,280 × 1,218,280
  4. Step 4: Simplify right side
    562,112x = 1,484,206,158,400
  5. Step 5: Solve for x
    x = 1,484,206,158,400/562,112
  6. Step 6: Final answer
    x = 2,640,410.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.