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Finding the Third Proportional to 412,130 and 899,833

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Solution

The third proportional to 412,130 and 899,833 is: 1,964,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,130 : 899,833 = 899,833 : x
  2. Step 2: Convert to fraction form
    412,130/899,833 = 899,833/x
  3. Step 3: Cross multiply
    412,130x = 899,833 × 899,833
  4. Step 4: Simplify right side
    412,130x = 809,699,427,889
  5. Step 5: Solve for x
    x = 809,699,427,889/412,130
  6. Step 6: Final answer
    x = 1,964,669.95

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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.