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Finding the Third Proportional to 562,287 and 1,214,385

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Solution

The third proportional to 562,287 and 1,214,385 is: 2,622,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,287 : 1,214,385 = 1,214,385 : x
  2. Step 2: Convert to fraction form
    562,287/1,214,385 = 1,214,385/x
  3. Step 3: Cross multiply
    562,287x = 1,214,385 × 1,214,385
  4. Step 4: Simplify right side
    562,287x = 1,474,730,928,225
  5. Step 5: Solve for x
    x = 1,474,730,928,225/562,287
  6. Step 6: Final answer
    x = 2,622,737.02

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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.