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Finding the Third Proportional to 720,664 and 1,115,960

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Solution

The third proportional to 720,664 and 1,115,960 is: 1,728,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,664 : 1,115,960 = 1,115,960 : x
  2. Step 2: Convert to fraction form
    720,664/1,115,960 = 1,115,960/x
  3. Step 3: Cross multiply
    720,664x = 1,115,960 × 1,115,960
  4. Step 4: Simplify right side
    720,664x = 1,245,366,721,600
  5. Step 5: Solve for x
    x = 1,245,366,721,600/720,664
  6. Step 6: Final answer
    x = 1,728,082.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.