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Finding the Third Proportional to 820,288.69 and 1,202,730.19

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Solution

The third proportional to 820,288.69 and 1,202,730.19 is: 1,763,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,288.69 : 1,202,730.19 = 1,202,730.19 : x
  2. Step 2: Convert to fraction form
    820,288.69/1,202,730.19 = 1,202,730.19/x
  3. Step 3: Cross multiply
    820,288.69x = 1,202,730.19 × 1,202,730.19
  4. Step 4: Simplify right side
    820,288.69x = 1,446,559,903,923.79
  5. Step 5: Solve for x
    x = 1,446,559,903,923.79/820,288.69
  6. Step 6: Final answer
    x = 1,763,476.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.