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Finding the Third Proportional to 802,885 and 1,089,871

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Solution

The third proportional to 802,885 and 1,089,871 is: 1,479,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,885 : 1,089,871 = 1,089,871 : x
  2. Step 2: Convert to fraction form
    802,885/1,089,871 = 1,089,871/x
  3. Step 3: Cross multiply
    802,885x = 1,089,871 × 1,089,871
  4. Step 4: Simplify right side
    802,885x = 1,187,818,796,641
  5. Step 5: Solve for x
    x = 1,187,818,796,641/802,885
  6. Step 6: Final answer
    x = 1,479,438.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.