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Finding the Third Proportional to 613,905 and 1,257,330

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Solution

The third proportional to 613,905 and 1,257,330 is: 2,575,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,905 : 1,257,330 = 1,257,330 : x
  2. Step 2: Convert to fraction form
    613,905/1,257,330 = 1,257,330/x
  3. Step 3: Cross multiply
    613,905x = 1,257,330 × 1,257,330
  4. Step 4: Simplify right side
    613,905x = 1,580,878,728,900
  5. Step 5: Solve for x
    x = 1,580,878,728,900/613,905
  6. Step 6: Final answer
    x = 2,575,119.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.