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Finding the Third Proportional to 896,170 and 1,419,730

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Solution

The third proportional to 896,170 and 1,419,730 is: 2,249,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,170 : 1,419,730 = 1,419,730 : x
  2. Step 2: Convert to fraction form
    896,170/1,419,730 = 1,419,730/x
  3. Step 3: Cross multiply
    896,170x = 1,419,730 × 1,419,730
  4. Step 4: Simplify right side
    896,170x = 2,015,633,272,900
  5. Step 5: Solve for x
    x = 2,015,633,272,900/896,170
  6. Step 6: Final answer
    x = 2,249,163.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.