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Finding the Third Proportional to 787,673 and 1,222,011

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Solution

The third proportional to 787,673 and 1,222,011 is: 1,895,851.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,673 : 1,222,011 = 1,222,011 : x
  2. Step 2: Convert to fraction form
    787,673/1,222,011 = 1,222,011/x
  3. Step 3: Cross multiply
    787,673x = 1,222,011 × 1,222,011
  4. Step 4: Simplify right side
    787,673x = 1,493,310,884,121
  5. Step 5: Solve for x
    x = 1,493,310,884,121/787,673
  6. Step 6: Final answer
    x = 1,895,851.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.