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Finding the Third Proportional to 649,014 and 1,420,377

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Solution

The third proportional to 649,014 and 1,420,377 is: 3,108,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,014 : 1,420,377 = 1,420,377 : x
  2. Step 2: Convert to fraction form
    649,014/1,420,377 = 1,420,377/x
  3. Step 3: Cross multiply
    649,014x = 1,420,377 × 1,420,377
  4. Step 4: Simplify right side
    649,014x = 2,017,470,822,129
  5. Step 5: Solve for x
    x = 2,017,470,822,129/649,014
  6. Step 6: Final answer
    x = 3,108,516.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.