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Finding the Third Proportional to 813,085 and 1,190,467

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Solution

The third proportional to 813,085 and 1,190,467 is: 1,743,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,085 : 1,190,467 = 1,190,467 : x
  2. Step 2: Convert to fraction form
    813,085/1,190,467 = 1,190,467/x
  3. Step 3: Cross multiply
    813,085x = 1,190,467 × 1,190,467
  4. Step 4: Simplify right side
    813,085x = 1,417,211,678,089
  5. Step 5: Solve for x
    x = 1,417,211,678,089/813,085
  6. Step 6: Final answer
    x = 1,743,005.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.