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Finding the Third Proportional to 412,128 and 899,829

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Solution

The third proportional to 412,128 and 899,829 is: 1,964,662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,128 : 899,829 = 899,829 : x
  2. Step 2: Convert to fraction form
    412,128/899,829 = 899,829/x
  3. Step 3: Cross multiply
    412,128x = 899,829 × 899,829
  4. Step 4: Simplify right side
    412,128x = 809,692,229,241
  5. Step 5: Solve for x
    x = 809,692,229,241/412,128
  6. Step 6: Final answer
    x = 1,964,662.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.