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Finding the Third Proportional to 451,089 and 972,693

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Solution

The third proportional to 451,089 and 972,693 is: 2,097,439.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,089 : 972,693 = 972,693 : x
  2. Step 2: Convert to fraction form
    451,089/972,693 = 972,693/x
  3. Step 3: Cross multiply
    451,089x = 972,693 × 972,693
  4. Step 4: Simplify right side
    451,089x = 946,131,672,249
  5. Step 5: Solve for x
    x = 946,131,672,249/451,089
  6. Step 6: Final answer
    x = 2,097,439.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.