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Finding the Third Proportional to 807,007 and 1,208,961

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Solution

The third proportional to 807,007 and 1,208,961 is: 1,811,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,007 : 1,208,961 = 1,208,961 : x
  2. Step 2: Convert to fraction form
    807,007/1,208,961 = 1,208,961/x
  3. Step 3: Cross multiply
    807,007x = 1,208,961 × 1,208,961
  4. Step 4: Simplify right side
    807,007x = 1,461,586,699,521
  5. Step 5: Solve for x
    x = 1,461,586,699,521/807,007
  6. Step 6: Final answer
    x = 1,811,120.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.