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Finding the Third Proportional to 733,565 and 1,555,447

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Solution

The third proportional to 733,565 and 1,555,447 is: 3,298,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,565 : 1,555,447 = 1,555,447 : x
  2. Step 2: Convert to fraction form
    733,565/1,555,447 = 1,555,447/x
  3. Step 3: Cross multiply
    733,565x = 1,555,447 × 1,555,447
  4. Step 4: Simplify right side
    733,565x = 2,419,415,369,809
  5. Step 5: Solve for x
    x = 2,419,415,369,809/733,565
  6. Step 6: Final answer
    x = 3,298,160.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.