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Finding the Third Proportional to 617,672 and 1,343,632

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Solution

The third proportional to 617,672 and 1,343,632 is: 2,922,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,672 : 1,343,632 = 1,343,632 : x
  2. Step 2: Convert to fraction form
    617,672/1,343,632 = 1,343,632/x
  3. Step 3: Cross multiply
    617,672x = 1,343,632 × 1,343,632
  4. Step 4: Simplify right side
    617,672x = 1,805,346,951,424
  5. Step 5: Solve for x
    x = 1,805,346,951,424/617,672
  6. Step 6: Final answer
    x = 2,922,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.