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Finding the Third Proportional to 787,972 and 1,204,830

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Solution

The third proportional to 787,972 and 1,204,830 is: 1,842,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,972 : 1,204,830 = 1,204,830 : x
  2. Step 2: Convert to fraction form
    787,972/1,204,830 = 1,204,830/x
  3. Step 3: Cross multiply
    787,972x = 1,204,830 × 1,204,830
  4. Step 4: Simplify right side
    787,972x = 1,451,615,328,900
  5. Step 5: Solve for x
    x = 1,451,615,328,900/787,972
  6. Step 6: Final answer
    x = 1,842,216.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.