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Finding the Third Proportional to 727,980.75 and 1,581,714

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Solution

The third proportional to 727,980.75 and 1,581,714 is: 3,436,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,980.75 : 1,581,714 = 1,581,714 : x
  2. Step 2: Convert to fraction form
    727,980.75/1,581,714 = 1,581,714/x
  3. Step 3: Cross multiply
    727,980.75x = 1,581,714 × 1,581,714
  4. Step 4: Simplify right side
    727,980.75x = 2,501,819,177,796
  5. Step 5: Solve for x
    x = 2,501,819,177,796/727,980.75
  6. Step 6: Final answer
    x = 3,436,655.68

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