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Finding the Third Proportional to 700,972 and 1,524,960

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Solution

The third proportional to 700,972 and 1,524,960 is: 3,317,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,972 : 1,524,960 = 1,524,960 : x
  2. Step 2: Convert to fraction form
    700,972/1,524,960 = 1,524,960/x
  3. Step 3: Cross multiply
    700,972x = 1,524,960 × 1,524,960
  4. Step 4: Simplify right side
    700,972x = 2,325,503,001,600
  5. Step 5: Solve for x
    x = 2,325,503,001,600/700,972
  6. Step 6: Final answer
    x = 3,317,540.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.