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Finding the Third Proportional to 869,967 and 1,910,137

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Solution

The third proportional to 869,967 and 1,910,137 is: 4,193,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,967 : 1,910,137 = 1,910,137 : x
  2. Step 2: Convert to fraction form
    869,967/1,910,137 = 1,910,137/x
  3. Step 3: Cross multiply
    869,967x = 1,910,137 × 1,910,137
  4. Step 4: Simplify right side
    869,967x = 3,648,623,358,769
  5. Step 5: Solve for x
    x = 3,648,623,358,769/869,967
  6. Step 6: Final answer
    x = 4,193,979.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.