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Finding the Third Proportional to 862,089 and 1,305,102

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Solution

The third proportional to 862,089 and 1,305,102 is: 1,975,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,089 : 1,305,102 = 1,305,102 : x
  2. Step 2: Convert to fraction form
    862,089/1,305,102 = 1,305,102/x
  3. Step 3: Cross multiply
    862,089x = 1,305,102 × 1,305,102
  4. Step 4: Simplify right side
    862,089x = 1,703,291,230,404
  5. Step 5: Solve for x
    x = 1,703,291,230,404/862,089
  6. Step 6: Final answer
    x = 1,975,771.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.