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Finding the Third Proportional to 902,311.75 and 2,006,365.38

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Solution

The third proportional to 902,311.75 and 2,006,365.38 is: 4,461,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,311.75 : 2,006,365.38 = 2,006,365.38 : x
  2. Step 2: Convert to fraction form
    902,311.75/2,006,365.38 = 2,006,365.38/x
  3. Step 3: Cross multiply
    902,311.75x = 2,006,365.38 × 2,006,365.38
  4. Step 4: Simplify right side
    902,311.75x = 4,025,502,017,998.89
  5. Step 5: Solve for x
    x = 4,025,502,017,998.89/902,311.75
  6. Step 6: Final answer
    x = 4,461,320.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.