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Finding the Third Proportional to 961,089 and 1,392,057

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Solution

The third proportional to 961,089 and 1,392,057 is: 2,016,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,089 : 1,392,057 = 1,392,057 : x
  2. Step 2: Convert to fraction form
    961,089/1,392,057 = 1,392,057/x
  3. Step 3: Cross multiply
    961,089x = 1,392,057 × 1,392,057
  4. Step 4: Simplify right side
    961,089x = 1,937,822,691,249
  5. Step 5: Solve for x
    x = 1,937,822,691,249/961,089
  6. Step 6: Final answer
    x = 2,016,278.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.