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Finding the Third Proportional to 727,107 and 1,555,301

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Solution

The third proportional to 727,107 and 1,555,301 is: 3,326,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,107 : 1,555,301 = 1,555,301 : x
  2. Step 2: Convert to fraction form
    727,107/1,555,301 = 1,555,301/x
  3. Step 3: Cross multiply
    727,107x = 1,555,301 × 1,555,301
  4. Step 4: Simplify right side
    727,107x = 2,418,961,200,601
  5. Step 5: Solve for x
    x = 2,418,961,200,601/727,107
  6. Step 6: Final answer
    x = 3,326,829.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.