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Finding the Third Proportional to 607,880 and 1,407,251

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Solution

The third proportional to 607,880 and 1,407,251 is: 3,257,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,880 : 1,407,251 = 1,407,251 : x
  2. Step 2: Convert to fraction form
    607,880/1,407,251 = 1,407,251/x
  3. Step 3: Cross multiply
    607,880x = 1,407,251 × 1,407,251
  4. Step 4: Simplify right side
    607,880x = 1,980,355,377,001
  5. Step 5: Solve for x
    x = 1,980,355,377,001/607,880
  6. Step 6: Final answer
    x = 3,257,806.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.