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Finding the Third Proportional to 727,452 and 1,580,832

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Solution

The third proportional to 727,452 and 1,580,832 is: 3,435,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,452 : 1,580,832 = 1,580,832 : x
  2. Step 2: Convert to fraction form
    727,452/1,580,832 = 1,580,832/x
  3. Step 3: Cross multiply
    727,452x = 1,580,832 × 1,580,832
  4. Step 4: Simplify right side
    727,452x = 2,499,029,812,224
  5. Step 5: Solve for x
    x = 2,499,029,812,224/727,452
  6. Step 6: Final answer
    x = 3,435,319.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.